an important question from the book -ML aggarwal( avichal publication)class 10th , chapter9, arithmetic progression …….. This type of question has been asked in paper. so please solve it in detail. we have been asked

Clasa 10, ML Publication,

Check whether 55 is a term of the AP 7, 10, 13?

Arithmetic Progression Chapter 3 question no. 7(i)

# Check whether 55 is a term of the AP 7, 10, 13?

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## Let an=a+(n−1)d=55

⇒7+(n−1)×3=55

⇒(n−1)×3=48

⇒n−1=16

⇒n=17

Clearly 55 is the 17th term of given AP