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

Conceptnth Term of an AP

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 Mathematics Textbook for Class 10 (with solutions)
Chapter 5: Arithmetic Progressions
Q: 5.1 | Page no. 106
R.D. Sharma 10 Mathematics (with solutions)
Chapter 9: Arithmetic Progression
Q: 4.3

Reference Material

Solution for question: Find the number of terms in each of the following APs : 7, 13, 19, . . . , 205 concept: null - nth Term of an AP. For the course CBSE
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