Question

ENone of these
26.A sequence of numbers is changing by the same amount each tim
third,fourth and fifth numbers are 6.2. and -2. What is the sum of the
eight items in the sequence?
O A 64
O co
O 014
O None of these​

Answer 1

Answer:

please mark me as brainlest

Answer 2

The sum of the 8 items in the sequence will be 0.

Given:

A sequence is changing by the same amount.

3rd number = 6

4th number = 2

5th number = -2

To Find:

We need to find the sum of the first 8 terms of the sequence.

Solution:

As the numbers are changing by the same amount, the sequence will follow an AP.

The common difference (d) = 4th term - 3rd term

= 2 - 6

= -4

Also, the 3rd term of the AP will be given as-

a + 2d

where a is the first term

⇒ a = 6 - (2 × -4)

a = 14

Now, the sum of the 8 terms can be calculated as-

8/2(2a + 7d)

= 4(28 - 28)

= 0

Thus, the sum of the 8 items in the sequence will be 0.

#SPJ3