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Find the number of terms in each of the following APs : 7, 13, 19, . . . , 205 - CBSE Class 10 - Mathematics

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Questions

Find the number of terms in the following A.P. : 7, 13, 19, . . . , 205

How many terms are there in the A.P.?

7, 13, 19, ..., 205.

Solution

7, 13, 19, …, 205

For this A.P.,

a = 7

d = a2 − a1 = 13 − 7 = 6

Let there are n terms in this A.P.

an = 205

We know that

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.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2014 to Current)
Chapter 5: Arithmetic Progressions
Ex.5.20 | Q: 5.1 | Page no. 106
Solution Find the number of terms in each of the following APs : 7, 13, 19, . . . , 205 Concept: nth Term of an AP.
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