Which term of the sequence 6, 13, 20, 27, ..... is 98 more

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Which term of the sequence 6, 13, 20, 27, ..... is 98 more than its 24th term ?

1. 36th
2. 38th
3. 35th
4. 48th

Correct Option: B

The 24th term of the sequence 6 ,13 , 20 , 27........
Here , a = 6 , n = 24 , d = 7
∴ T_n = a + (n – 1) d
∴ T₂₄ = 6 + (24 – 1) 7
T₂₄ = 6 + 23 × 7 = 6 + 161 = 167
Let the required nth term = 265
∴ 265 = 6 + ( n – 1) 7
⇒ (n – 1) 7 = 265 – 6 = 259

⇒ n – 1 =	259	= 37
	7

⇒ n – 1 = 37 ⇒ n = 38