Sum

Write the first three terms in each of the sequences defined by the following

a_{n} = 3n + 2

Write the first five terms of the following sequences whose nth term are

a_{n} = 3n + 2

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#### Solution

Given sequence a_{n} = 3n + 2

To write first five terms of given sequence put n = 1, 2, 3, 4, 5, we get

a_{1} = (3 × 1) + 2 = 3 + 2 = 5

a_{2} = (3 × 2) + 2 = 6 + 2 = 8

a_{3} = (3 × 3) + 2 = 9 + 2 = 11

a_{4} = (3 × 4) + 2 = 12 + 2 = 14

a_{5} = (3 × 5) + 2 = 15 + 2 = 17

∴ The required first five terms of given sequence a_{n} = 3n + 2 are 5, 8, 11, 14, 17

Concept: Arithmetic Progression

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