Question 91

The first and last terms of an arithmetic progression are 33 and -57. What is the sum of the series if it has 16 terms?

Solution

In an arithmetic progression with first term, $$a = 33$$ , last term, $$l = -57$$

Number of terms = $$n = 16$$

$$\therefore$$ Sum of A.P. = $$\frac{n}{2} (a + l)$$

= $$\frac{16}{2} (33 - 57)$$

= $$8 \times (-24) = -192$$

=> Ans - (B)

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