Question

How to find the number of terms when the first term and the last term and the common difference is given?

Answer 1

Answer:

Step-by-step explanation:

With the help of first term,last term and the common difference you can able to easily find no of terms by this formula:

n=l-a/d +1

l - last term

a- first term

d- common difference

Answer 2

Hey there!

an= a+ (n-1)d

Where, an= nth term or the last term

a= the first term

n= number of terms

d= common difference

For example,here's an AP

3,8,13......253

a=3 ,

d= 8-3=5,

an= 253(last term)

n=?

Substitute the values in the equation

an= a+(n-1) d

= 253=3+(n-1)5

=253-3=5n-5

=250+5=5n

==>n= 255/5

=51

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Hope this will help you!

Thank you

Happy learning ✨