GATE CE 2020 Set 1 — Question 8
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Question
Insert seven numbers between 2 and 34, such that the resulting sequence including 2 and 34 is an arithmetic progression. The sum of these inserted seven numbers is _______.
Correct answer
(C) 126
Solution
Let the arithmetic progression be where and .
The common difference is given by:
The seven inserted numbers are .
The sum of these seven numbers is:
Alternatively, using the sum of AP formula:
Sum of all 9 terms
Sum of inserted numbers = .
The common difference is given by:
The seven inserted numbers are .
The sum of these seven numbers is:
Alternatively, using the sum of AP formula:
Sum of all 9 terms
Sum of inserted numbers = .
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