Question

the sum of first 16 terms of an A P is 528 and OF NEXT 16 TERMS IS 1552 . FIND FIRST TERM AND COMMON DIFFERENCE

Answer 1

Let \(a_1\) be the first term and r b the common difference
then
\[
a_n= a_1 + (n-1) r
\]

Answer 2

BUT CAN'T APPLY IT IN THIS PROBLEM

Answer 3

Why?

Answer 4

THE FIRST 16 TERM WILL HAVE ADIFF FIRST TERM AND THE NEXT 16 WILL HAVE SOME OTHER FIRST TERM

Answer 5

You do the sum of the first 16, then the sum of the first 32 and you take the difference

Answer 6

The sum of the first k terms can be calculated to be
\[
\sum_{n=1}^k a_n= k a_1+r\frac{1}{2} (k-1) k
\]

Answer 7

If k=16, then, the sum
is
\[
16 a_1 + 120 r
\]

Answer 8

THANK YOU GOT THE ANSWER

Answer 9

YW

Answer 10

What did you get for r and a_1