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Which term of the arithmetic progression 2, 5, 8, ... is 44?

Question

Which term of the arithmetic progression 2, 5, 8, ... is 44?

A) 5

B) 20

C) 25

D) 16

E) 15

Explanation:

$$a = 2; d = 3$$
$$T_n = a + (n-1)d$$
$$44 = 2+ (n-1)^3$$
$$\frac{42}{2} = n - 1$$
$$n = 15$$

Dicussion (1)

• $$a = 2; d = 3$$
$$T_n = a + (n-1)d$$
$$44 = 2+ (n-1)^3$$
$$\frac{42}{2} = n - 1$$
$$n = 15$$