Last seen: Jun 14, 2021
We know that, for an A.P series; an = a+(n−1)d a17 = a+(17−1)d a17 = a +16d In the same way, a10 = a + 9d As it is given in the question, ...
Given that, 3rd term, a3 = 4 and 9th term, a9 = -8 We know that, an = a+(n−1)d Therefore, a3 = a+(3-1)d 4 = a+2d ……………… (i) a9 = a+(9−...
Given that, 3rd term, a3 = 12 50th term, a50 = 106 We know that, an = a+(n−1)d a3 = a+(3−1)d 12 = a+2d ……………. (i) In the same way, a5...
Given that, 11th term, a11 = 38 and 16th term, a16 = 73 We know that, an = a+(n - 1)d a11 = a+(11 - 1)d 38 = a+10d …………………. (i) In the ...
For the given series, A.P. 11, 8, 5, 2.. First term, a = 11 Common difference, d = a2−a1 = 8 - 11 = -3 Let -150 be the nth term of this A.P. ...
(i) Given, 7, 13, 19, …, 205 is the A.P Therefore First term, a = 7 Common difference, d = a2 − a1 = 13 − 7 = 6 Let there are n terms in this ...
Given the A.P. series as3, 8, 13, 18, … First term, a = 3 Common difference, d = a2 - a1 = 8 - 3 = 5 Let the nth term of given A.P. be 78. No...
(i) For the given A.P., 2,2 , 26 The first and third term are; a = 2 a3 = 26 As we know, for an A.P., an = a+(n −1)d Therefore, putting th...
(i) Given here, A.P. = 10, 7, 4, … we can find, First term, a = 10 Common difference, d = a2 − a1 = 7−10 = −3 As we know, for an A.P., an ...
(i) Given, First term, a = 7 Common difference, d = 3 Number of terms, n = 8, We have to find the nth term, an = ? As we know, for an A.P., ...
(i) √3, √6, √9, √12 … a2 – a1 = √6-√3 = √3×√2-√3 = √3(√2-1) a3 – a2 = √9-√6 = 3-√6 = √3(√3-√2) a4 – a3 = √12 – √9 = 2√3 – √3×√3 = √3(2-...
(i) a, 2a, 3a, 4a … a2 – a1 = 2a–a = a a3 – a2 = 3a-2a = a a4 – a3 = 4a-3a = a Since, an+1 – an or the common difference is same every time. ...
(i) Given, 3, 3+√2, 3+2√2, 3+3√2 a2 – a1 = 3+√2-3 = √2 a3 – a2 = (3+2√2)-(3+√2) = √2 a4 – a3 = (3+3√2) – (3+2√2) = √2 Since, an+1 – an or the...
(i) Given, 3, 3+√2, 3+2√2, 3+3√2 a2 – a1 = 3+√2-3 = √2 a3 – a2 = (3+2√2)-(3+√2) = √2 a4 – a3 = (3+3√2) – (3+2√2) = √2 Since, an+1 – an or the ...
(i) Given, -1.2, – 3.2, -5.2, -7.2 … a2 – a1 = (-3.2)-(-1.2) = -2 a3 – a2 = (-5.2)-(-3.2) = -2 a4 – a3 = (-7.2)-(-5.2) = -2 Since, an+1 – an o...
(i) Given to us, 2, 4, 8, 16 … Here, the common difference is, a2 – a1 = 4 – 2 = 2 a3 – a2 = 8 – 4 = 4 a4 – a3 = 16 – 8 = 8 Since, an+1 – ...
(i) Given series, 3, 1, – 1, – 3 … First term, a = 3 Common difference, d = Second term – First term = 1 – 3 = -2 = d = -2 (ii) Given seri...
a = – 1.25, d = – 0.25 Let us consider, the Arithmetic Progression series be a1, a2, a3, a4, a5 … a1 = a = - 1.25 a2 = a1 + d = - 1.25 - 0.25 = ...
(i) a = 4, d = – 3 Let us consider, the Arithmetic Progression series be a1, a2, a3, a4, a5 … a1 = a = 4 a2 = a1+d = 4-3 = 1 a3 = a2+d = 1-3 =...
Raja Rammohun Roy was a great social reformer. He moved to see the tyranny of old practices that were deeply rooted in Indian society. Burning of wido...