Question

Can the sum of first some term of the arithmetic sequence 8,14,20 be 356 ?justify

Answer 1

EXPLANATION.

Can the sum of first some terms of the arithmetic sequences.

8, 14, 20, . . . . . be 356.

As we know that,

First term = a = 8.

Common difference = d = b - a = 14 - 8 = 6.

General terms of an A.P.

⇒ Tₙ = a + (n - 1)d.

⇒ 356 = 8 + (n - 1)(6).

⇒ 356 = 8 + 6n - 6.

⇒ 356 = 2 + 6n.

⇒ 356 - 2 = 6n.

⇒ 354 = 6n.

⇒ n = 59.

Yes, for n = 59 the arithmetic sequence : 8, 14, 20, . . . . . be 356.

Answer 2

Question:

Can the sum of first some term of the arithmetic sequence 8,14,20 be 356 ?justify

Formula:

Tn = a + (n-1)d

Solution:

Given,

Series = 8, 14, 20, ........ 356

First Term = 8

Common Difference

= 14 - 8

= 6

Now, we have to find out the sum of first some term of the given arithmetic sequence.

Tn = a + (n-1)d

Now, putting the value of the given variables.

=> 356 = 8 + (n-1)6

=> 356 = 8 + 6n- 6

=> 356 = 2 + 6n

=> 356 - 2 = 6n

=> 354 = 6n

.°. n = 59