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
Answers
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Answer:
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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.
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