Question

Find the 45th term of the sequence 5 8 11 14

Answer 1

Answer: The nth term is 3n+2. The given sequence is in A.P. =5+3n-3 =3n+2.

Step-by-step explanation:

Answer 2

Given:

The given sequence is 5, 8, 11, 14, ------------------------

Find:

The value of 45th term.

Answer:

The 45th term of the sequence is 137.

Solution:

The given sequence is,

5, 8, 11, 14, ------------------------

First term, a = 5

Second term, a₂ = 8

Third term, a₃ = 11

Fourth term, a₄ = 14

Common difference, d = a₂ - a₁

                                      = 8 - 5

                                      = 3

The formula for general term is given by,

aₙ = a + (n - 1)d

∴ 45th term, a₄₅ = a + (45 - 1)d

                           = 5 + 44d

                           = 5 + 44(3)

                           = 5 + 132

                           = 137

Hence, 45th term of the sequence, a₄₅ = 137.

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