Question

if 5th term ap is 26 & 10th term is 51 determine 15th term

Answer 1

hope this helps you.

Answer 2

5th term of an AP = 26
a5 = 26
a + 4d = 26 --------------- equation number 1

10th term of an AP = 51
a10 = 51
a + 9d = 51 ---------------- equation number 2

by adding equation number 1 and 2 we will get

5d = 25
d = 5 ----------- putting in equation 1

a + 4d = 26
a + 4×5 = 26
a = 26 - 20
a = 6

a15 = a + 14d
= 6 + 14 × 5
= 6 + 70
= 76.

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