Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Which term of the sequence $3, 8, 13, 18, . . . . . . . .$ is $498$ .

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

9 5^{th}

10 0^{th}

10 2^{th}

10 1^{th}

answer is B.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given the sequence

3, 8, 13, 18, . . . . . . . .

We have to find which term of the sequence is 498.
Here we have,

a = 3, l = 498, d = 5

.
Thus,

l = a + (n - 1) d

\Rightarrow 498 = 3 + (n - 1) 5

\Rightarrow 498 - 3 = (n - 1) 5

\Rightarrow 495 = (n - 1) 5

\Rightarrow \frac{495}{5} = n - 1

\Rightarrow 99 = n - 1

∴ n = 99 + 1

∴ n = 100

Therefore, the

100^{th}

term is

498

.
Hence, option 2 is correct.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test