Write the first terms of the sequences whose nth term are:an = 3n

1.	Write the first terms of the sequences whose nth term are:an = 3n
Answer» Given sequence whose a_n = 3ⁿ To get the first five terms of given sequence, put n = 1, 2, 3, 4, 5 in the above a₁ = 3¹ = 3; a₂ = 3² = 9; a₃ = 3³ = 27; a₄ = 3⁴ = 81; a₅ = 3⁵ = 243. ∴ The required first five terms of the sequence whose n^th term, a_n = 3ⁿ are 3, 9, 27, 81, 243.

Answer»

Given sequence whose a_n = 3ⁿ

To get the first five terms of given sequence, put n = 1, 2, 3, 4, 5 in the above

a₁ = 3¹ = 3;

a₂ = 3² = 9;

a₃ = 3³ = 27;

a₄ = 3⁴ = 81;

a₅ = 3⁵ = 243.

∴ The required first five terms of the sequence whose n^th term, a_n = 3ⁿ are 3, 9, 27, 81, 243.

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