Question

The first and last terms of ap are -3 and 58 respectively the sum of all terms of the progression is 5060. Find the number of terms and common difference?

Answer 1

Hope this will help u... :-)

Answer 2

Answer:

Number of terms n= 184

Common difference d=1/3

Step-by-step explanation:

We know that Sum of n terms is given by

$S_n = \frac{n}{2} (a + l)$

here a: first term

l: last term

In the question a= -3

l=58

Sn=5060

$5060 = \frac{n}{2} ( - 3 + 58) \\ \\ 10120 = n(55) \\ \\ n = \frac{10120}{55} \\ \\ n = 184$

So,the AP has total 184 terms.

$a = - 3 \\ \\ 58 = - 3 + 183d \\ \\ 61 = 183d \\ \\ d = \frac{61}{183} \\ \\ d = \frac{1}{3}$

Hope it helps you.