Mathematics

Grade10

Easy

Question

# What is the 30^{th} term when the first term is 2 and the common difference is 2?

- 30
- 62
- 29
- 60

Hint:

### The given question is about arithmetic progression. Arithmetic progression is a sequence of numbers where, the difference between two consecutive terms is constant. We are given the first term and the common difference. We are asked to find the 30^{th} term of the sequence.

## The correct answer is: 60

### The first term of the progression is a_{1 }= 2.

The common difference is d = 2.

Common difference is the fixed difference between the consecutive numbers of the sequence. We have to add the common difference to the preceding term, to get the next term. It can be negative or positive number. It can also have value zero.

The formula for nth term of a arithmetic progression is given as follows:

a_{n }= a_{1}+ (n – 1)d

For 30^{th} term n = 30.

Substituting the values in above equation we get,

a_{30} = 2 + (30 – 1)2

= 2 + 58

= 60

So, the 30^{th} term of the sequence is 60.

For such questions, we should know the formula to find any number of term.