Question 39

The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

Solution

$$T_{3}$$ = a + 2d = -9-------(1)

$$T_{7}$$ = a + 6d = 11-------(2)

on solving (1) AND (2)

d = 5 & a = -19

$$T_{15}$$ = a + 14d = -19 + 14(5) = 51

so the answer is option C.

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