What are the first five terms of the sequence given by the formula a_n = 4n + 1.

Solution:

Given, the formula is aₙ = 4n + 1

We have to write the first five terms of the sequence.

For first term n = 1

a₁ = 4(1) + 1

= 4 + 1

= 5

For second term n = 2

a₂ = 4(2) + 1

= 8 + 1

= 9

For third term n = 3

a₃ = 4(3) + 1

= 12 + 1

= 13

For fourth term n = 4

a₄ = 4(4) + 1

= 16 + 1

= 17

For fifth term n = 5

a₅ = 4(5) + 1

= 20 + 1

= 21

Therefore, the first five terms of the sequence are 5, 9, 13, 17, 21.

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What are the first five terms of the sequence given by the formula a_n = 4n + 1.

Summary:

The first five terms of the sequence given by the formula aₙ = 4n + 1 are 5, 9, 13, 17, 21.