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

Question

anonymous · Answer

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

anonymous · Answer

BUT CAN'T APPLY IT IN THIS PROBLEM

anonymous · Answer

Why?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

If k=16, then, the sum
is
$$
16 a_1 + 120 r
$$

anonymous · Answer

THANK YOU GOT THE ANSWER

anonymous · Answer

YW

anonymous · Answer

What did you get for r and a_1