CameraIcon

SearchIcon

MyQuestionIcon

173

You visited us 173 times! Enjoying our articles? Unlock Full Access!

Formula for Sum of n Terms of an AP

The sum of th...

Question

The sum of the first 10 terms of the AP 1, 5, 9….is

A

175

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

185

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

190

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

200

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 190
The given AP is 1, 5, 9...
first term $a$ = 1, common difference $d$ = 5-1 = 4, no. of terms $n$ = 10 and $S_{n}$ = sum of all n terms.

Now, $S_{n} = \frac{n}{2} (2 a + (n - 1) d)$

$S_{10} = \frac{10}{2} (2 \times 1 + (10 - 1) 4)$

$= 5 (2 + 36) = 190$

Suggest Corrections

thumbs-up

9

Similar questions

Q. Find the sum of the first 10 terms of the AP : 5, 9, 13, . . .

4^{t h}

term of an AP is 9 and the

9^{t h}

term of the AP is 34. The sum of the first 10 terms of the AP is

Q. The sum of first

9

terms of an AP is

81

and the sum of its first

20

400

. Find the first term and the common difference of the AP.

4^{th}

9^{th}

terms of an AP are 18 and 68 respectively. The sum of the first 10 terms of the AP is .

Q. The first term of an arithmetic progression (A. P) is the common ratio of a GP and the first term of the same GP is the common difference of the AP. The sum of the first

10

terms of the AP is

155

and the sum of the first two terms of the GP is

9.

Find the first term of the AP ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Formula for Sum of N Terms of an AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Formula for Sum of n Terms of an AP

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon