Grade 12th pass10 grade maths
5. Find the number of terms in each of the following A.P.
(i) 7, 13, 19, …, 205
5. Find the number of terms in each of the following A.P.
(i) 7, 13, 19, …, 205
1 Answer
Pawan Prajapati
(i) Given, 7, 13, 19, …, 205 is the A.P
Therefore
First term, a = 7
Common difference, d = a2 − a1 = 13 − 7 = 6
Let there are n terms in this A.P.
an = 205
As we know, for an A.P.,
an = a + (n − 1) d
Therefore, 205 = 7 + (n − 1) 6
198 = (n − 1) 6
33 = (n − 1)
n = 34
Therefore, this given series has 34 terms in it.
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