General
General
Easy

Question

# Find the number of terms in the Arithmetic Sequences: 7 , 13 , 19 ,…….,205

## 34243540 Hint:

## The correct answer is: 34

### The given sequence is 7, 13, 19, … ,205The first term of the progression is denoted by a1 = 7The common difference is denoted by d.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 common difference isd = 13 – 7= 6The last term is 205.Let the number of terms in sequence be n. We have to find the value of n.The formula for nth term of a arithmetic progression is given as follows:an = a1 + (n – 1)d205 = 7 + (n – 1)6205 = 7 + 6n – 6205 = 1 + 6nRearranging and subtracting 1 from both the sides we get,6n = 204n = 34As n = 34, there are 34 terms in the given sequence.

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

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