Which term of a sequence 4,7,10,15...is37

Answers 1

EXPLANATION.

Which term of the sequence,

⇒ 4, 7, 10, . . . . . is 37.

As we know that,

First term = a = 4.

Common difference = d = b - a = 7 - 4 = 3.

General term of an A.P.

⇒ Tₙ = a + (n - 1)d.

Using this formula in this question, we get.

⇒ 37 = 4 + (n - 1)(3).

⇒ 37 = 4 + 3n - 3.

⇒ 37 = 1 + 3n.

⇒ 37 - 1 = 3n.

⇒ 36 = 3n.

⇒ n = 12.

12 terms of the sequence 4, 7, 10, 13, . . . . . is 37.

                                                                                                              MORE INFORMATION.

Supposition of terms in an A.P.

Three terms as : a - d, a, a + d.

Four terms as : a - 3d, a - d, a + d, a + 3d.

Five terms as : a - 2d, a - d, a, a + d, a + 2d.

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