Mathematics
Easy

Question

# What is the difference between the 20th term and 40th term of the Arithmetic Sequences with first term  5 and common difference 2?

## 204050110 Hint:

## The correct answer is: 40

### The first term of the progression is a1 = 5The common difference is d = 2Common 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:an = a1 + (n - 1) dFor 20th term n = 20.Substituting the values in above equation we get,a20 = 5 + (20 - 1) 2= 5 + 38= 43Similarly ,a40 = 5 + (40 - 1)2= 5 + 78= 83The difference between the 40th term and 20th term isDifference = a40 - a20= 83 – 43= 40So, the difference between the 40th term and 20th term is 40.

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

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