Which term of the AP 7, 13, 19 is 205?
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
Which term of the AP 3, 8, 13, 18 is 78?
Clasa 10, ML Publication, Arithmetic Progression Chapter 3 question no. 6(ii)
Rajan@2021Guru
Which term of the AP 7,13,19……is 205?
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Given sequence is 7,13,19,...,205
The first term a=7 and
the common difference d=13−7=6
the last term is 205
Let the last term be the nth term
We know that the nth term of the arithmetic progression is given by a+(n−1)d
Therefore, a+(n−1)d=205
⟹7+(n−1)×(6)=205
⟹7−6+6n=205
⟹1+6n=205
⟹6n=205−1
⟹n=6204
⟹n=34
Therefore, the number of terms in the given sequence is 34