Find the first six terms of the sequence. a₁ = -1, a_n = 4.a_{n - 1}

Solution:

Given, a₁ = -1, a_n = 4.a_{n - 1}

We have to find the first six terms of the sequence.

So, a₂=4.a_2-1

=4.a₁

=4.(-1)

a₂=-4

a₃ =4.a_3-1

=4.a₂ 

= 4.(-4)

a₃=-16

a₄ =4.a₃

=4.a₃

=4.(-16)

a₄=-64

a₅=4.a₄ 

=4.a₄ 

=4.(-64)

a₅=-256

a₆=4.a_6-1

=4.a₅

=4.(-256)

a₆=-1024

Therefore, the first six terms are -1, -4, -16, -64, -256, -1024.

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Find the first six terms of the sequence. a₁ = -1, a_n = 4.a_{n - 1}

Summary:

The first six terms of the sequence aa₁ = -1, a_n = 4.a_{n - 1} are -1, -4, -16, -64, -256 and -1024.