Mathematics
Easy

Question

# Which term of the Arithmetic Sequences : 3 , 8 , 13 , 18 ………. , is 78 ?

## 15141716 Hint:

## The correct answer is: 16

### The given sequence is 3, 8, 13, 18, …The term is 78. We have to find it’s position.The first term of the progression is a = 3Common 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 common difference is d = 8 – 3d = 5The formula for nth term of a arithmetic progression is given as follows:an = a + (n – 1)dWe will substitute the values.an = 3 + (n – 1)(5)78 = 3 + 5n – 578 = -2 + 5n78 + 2 = 5n5n = 80n = 16So, the given term is 16th term.

For such questions, we should know the formula to find any number of the terms. We should also know about common difference.

### Related Questions to study  #### With Turito Foundation. #### Get an Expert Advice From Turito.  