Write the first five terms of each of the following recursively defined sequences:

an+1 = 2 (an) ^2, a1 = x, where x is a real number Write each term in the form kxn.

Question

Livingston

Mathematics

22 July, 22:03

Write the first five terms of each of the following recursively defined sequences:

an+1 = 2 (an) ^2, a1 = x, where x is a real number Write each term in the form kxn.

+4

Answers (1)

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Kayley Salazar · Answer 1

See below in bold.

Step-by-step explanation:

a1 = x

a2 = 2 (a1) ^2 = 2x^2

a3 = 2 (a2) ^2 = 2 (2x^2) 2 = 2 (4x^4) = 8x^4

a4 = 2 (a3) ^2 = 2 (8x^4) ^2 = 128x^8

a5 = 2 (a4) ^2 = 2 (128x^8) ^2 = 32768x^16.

Write the first five terms of each of the following recursively defined sequences:an+1 = 2 (an) ^2, a1 = x, where x is a real number Write each term in the form kxn.

Write the first five terms of each of the following recursively defined sequences:

an+1 = 2 (an) ^2, a1 = x, where x is a real number Write each term in the form kxn.