Question

Given that 4, p, q 13 are consequtive terms of an arithmetic progression, find the value of p and q​

Answer 1

If it’s an Ap there will be a common difference between consecutive terms so
P-4= q-p
13-q= q-p
So p-4= 13-q
P+q= 17
And therefore p=7 and q = 10 is the answer
The sequence is 4, 7, 10, 13. and the common difference is 3.