First four terms of an A.P. are ....., whose first term is – 2 an… - Vidyadip

MCQ

First four terms of an A.P. are ....., whose first term is – 2 and common difference is – 2.

A
– 2, 0, 2, 4
B
– 2, 4, – 8, 16
✓
– 2, – 4, – 6, – 8
D
– 2, – 4, – 8, – 16

✓

Answer

Correct option: C.

– 2, – 4, – 6, – 8

(C) – 2, – 4, – 6, – 8
Given first term t₁ = – 2
Common difference d = – 2
By using formula t_{n + 1} = t_n + d
t₂ = t₁ + d = – 2 + ( – 2) = – 2 – 2 = – 4
t₃ = t₂ + d = – 4 + ( – 2) = – 4 – 2 = – 6
t₄ = t₃ + d = – 6 + ( – 2) = – 6 – 2 = – 8
Hence, the A.P. is – 2, – 4, – 6, – 8
∴ correct answer is (C)

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