Question

What’s the 30th of the linear sequence -5,-2,1,4,7

Answer 1

The 30th term of the given sequence is 82.

Step-by-step explanation:

• The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on.
• The given linear sequence (-5,-2,1,4,7) is in the form of Arithmetic Progression with a common difference of 3.

• -5, -5+3 = -2, -2+3 = 1, 1+3 = 4 and so on.

The nth term is given by the formula nth term = a + (n - 1) d

where  

a = first term

d = common difference

To find the 30th term in the given sequence :

The first term, a = -5 and the common difference, d = 3.

30th term = -5 + (30-1) 3

⇒ -5 + (29) 3

⇒ -5 + 87

⇒ 82

Therefore, the 30th term in the given sequence is 82.