A sequence can be generated by using an=4an-1 where a1=6 (a) 6, 20, 76, 300 (b) 6, 24, 96, 384 (c) 6, 10, 14, 18 (d) 6, 20, 100, 500

Question

Adelyn

Mathematics

15 August, 18:50

A sequence can be generated by using an=4an-1 where a1=6 (a) 6, 20, 76, 300 (b) 6, 24, 96, 384 (c) 6, 10, 14, 18 (d) 6, 20, 100, 500

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Answers (1)

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Nigel Caldwell · Answer 1

The correct answer is B. 6, 24, 96, 384

Step-by-step explanation:

Let's calculate the first four terms of the sequence, this way:

an=4an-1 where a1=6

First term:

aₙ = 4aₙ₋₁, where a₁ = 6

Second term:

a₂ = 4a₁ = 4 * 6 = 24

Third term:

a₃ = 4a₂ = 4 * 24 = 96

Fourth term:

a₄ = 4a₃ = 4 * 96 = 384

The correct answer is B. 6, 24, 96, 384