This question is from NCERT Book class 10th Chapter number 5 Ex. 5.2 Q. 5 (i) . In the following question you have to find the the number of terms of the given Arithmetic Progression. Give the solution of the above question briefly.
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Solutions:
As given above:-
a = 7
d = a2 − a1 = 13 − 7 = 6
Let be n terms in this A.P.
an = 205
For an A.P.,
an = a + (n − 1) d
Therefore,
205 = 7 + (n − 1) 6
198 = (n − 1) 6
33 = (n − 1)
n = 34
The given series has total 34 terms.