Question

(a) Write the first integer term of the arithmetic sequence 1/7, 2/7, 3/7......
(b) What is the sum of the first 7 terms of this sequence​

Answer 1

Answer:

(a)first integer term=7/7

Step-by-step explanation:

(b)sum of first 7 terms=4

1+2+3+..............+7 by 7=4

                                                                                                                   

Answer 2

Given,

An A.P 1/7, 2/7, 3/7......

To Find,

The first integer term of this A.P and the sum of the first 7 terms of A.P.

Solution,

The given A.P is 1/7, 2/7, 3/7......

So, the first integer term will be 7/7 = 1 which will be its 7th term.

Now,

Sum = n/2(a+aₙ)

where n is the number of terms, a is the first term and aₙ is the nth term.

Sum = 7/2(1/7+7/7)

Sum = 7/2(8/7)

Sum = 4

Hence, the first integer term is 1 and the sum of 7 terms of A.P is 4.