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Raavi Tiwari
@raavi-tiwari
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Joined: May 7, 2021
Last seen: Jun 14, 2021
Topics: 0 / Replies: 2064
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Answer to: Find the sum of first 22 terms of an AP in which d = 7 and 22nd term is 149.

Common difference, d = 7 22nd term, a22 = 149 Sum of first 22 term, S22 = ? an = a+(n−1)d a22 = a+(22−1)d 149 = a+21×7 149 = a+147 a = 2...

4 years ago
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Answer to: The first and the last term of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

Given that, First term, a = 17 Last term, l = 350 Common difference, d = 9 Let there be n terms in the A.P., thus the formula for last term ca...

4 years ago
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Answer to: The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

Given that, first term, a = 5 last term, l = 45 Sum of the AP, Sn = 400 Sn = n/2 (a+l) 400 = n/2(5+45) 400 = n/2(50) Number of terms, n ...

4 years ago
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Answer to: How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636?

Let there be n terms of the AP. 9, 17, 25 … For this A.P., First term, a = 9 Common difference, d = a2−a1 = 17−9 = 8 Sn = n/2 [2a+(n -1)d] ...

4 years ago
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Answer to: In an AP (i) Given a = 3, n = 8, S = 192, find d. (ii) Given l = 28, S = 144 and there are total 9 terms.

(i) Given that, first term, a = 3, Number of terms, n = 8 And sum of n terms, S = 192 As we know, Sn = n/2 [2a+(n -1)d] 192 = 8/2 [2×3+(8 -1...

4 years ago
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Answer to: In an AP (i) Given a = 2, d = 8, Sn = 90, find n and an. (ii) Given a = 8, an = 62, Sn = 210, find n and d.

(i) Given that, a = 2, d = 8, Sn = 90 Sn = n/2 [2a +(n -1)d] 90 = n/2 [2a +(n -1)d] ⇒ 180 = n(4+8n -8) = n(8n-4) = 8n2-4n ⇒ 8n2-4n –180 = 0...

4 years ago
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Answer to: In an AP (i) Given a12 = 37, d = 3, find a and S12. (ii) Given a3 = 15, S10 = 125, find d and a10. (iii) Given d = 5, S9 = 75, find a and a9.

(i) Given that, a12 = 37, d = 3 the nth term in an AP, an = a+(n −1)d, ⇒ a12 = a+(12−1)3 ⇒ 37 = a+33 ⇒ a = 4 Now, sum of nth term, Sn = ...

4 years ago
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Answer to: In an AP (i) Given a = 5, d = 3, an = 50, find n and Sn. (ii) Given a = 7, a13 = 35, find d and S13.

(i) Given that, a = 5, d = 3, an = 50 an = a +(n −1)d, ⇒ 50 = 5+(n -1)×3 ⇒ 3(n -1) = 45 ⇒ n -1 = 15 ⇒ n = 16 Now, sum of n terms, Sn = n...

4 years ago
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Answer to: Find the sums given below: (i) 7 + 10 1/2 + 14 + ...... + 84 (ii) 34 + 32 + 30 + ……….. + 10 (iii) -5 + (-8) + (-11) + ………… + (-230)

(i) For this given A.P., 7 + + 14 + ...... + 84 First term, a = 7 nth term, an = 84 Common difference, d = a2 - a1 = = = Let 84 be the n...

4 years ago
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Answer to: Find the sum of the following APs. (i) 2, 7, 12 ,…., to 10 terms. (ii) -37, -33, -29 ,…, to 12 terms (iii) 0.6, 1.7, 2.8 ,…….., to 100 terms

(i) Given, 2, 7, 12 ,…, to 10 terms first term, a = 2 And common difference, d = a2 − a1 = 7−2 = 5 n = 10 sesum of nth term in AP series is...

4 years ago
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Answer to: Ramkali saved Rs 5 in the first week of a year and then increased her weekly saving by Rs 1.75. If in the nth week, her weekly savings become Rs 20.75, find n.

Ramkali saved Rs.5 in first week and then started saving each week by Rs.1.75. and common difference, d = 1.75 Also given, an = 20.75 Find, n ...

4 years ago
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Answer to: Subba Rao started work in 1995 at an annual salary of Rs 5000 and received an increment of Rs 200 each year. In which year did his income reach Rs 7000?

The incomes of Subba Rao increases every year by Rs. 200 and hence, forms an AP. Therefore, after 1995, the salaries of each year are; 5000, 5200,...

4 years ago
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Answer to: The sum of 4th and 8th terms of an A.P. is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the A.P.

We know that, the nth term of the AP is; an = a+(n-1)d a4 = a+(4-1)d a4 = a+3d In the same way, we can write, a8 = a+7d a6 = a+5d a10 = ...

4 years ago
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Answer to: Who were the leaders of the Khilafat agitation?

The leaders of the Khilafat agitation were Mohammad Ali and Shaukat Ali.

4 years ago
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Answer to: Why did Rabindranath Tagore renounce his knighthood?

Rabindranath Tagore renounced his knighthood to express the pain and anger of the country following the Jallianwala Bagh atrocities.

4 years ago
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Answer to: Why did Mahatma Gandhi along with other Indians establish the Natal Congress in South Africa?

He did so in order to fight against racial discrimination in South Africa.

4 years ago
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Answer to: Name the three leading members of the Radical group.

Bepin Chandra Pal, Balgangadhar Tilak and Lala Lajpat Rai.

4 years ago
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Answer to: What was the Swadeshi Movement known as in deltaic Andhra?

In deltaic Andhra the Swadeshi Movement was known as the Vandemataram Movement.

4 years ago
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