EgmatQuantExpert wrote:
Algerba Question Series- Question 1
In a sequence, all the terms are arranged in decreasing order of value, and the difference between any two consecutive terms is equal to 4. If the number of terms in the sequence is odd, and the sum of first term and last term is zero, then what is the sum of all terms in the sequence?
The problem does not state anything about the number of terms in the sequence.
So, take the sequence to contain only one term.
A sequence of one term satisfies the following required conditions.
- Difference between any two consecutive terms is equal to 4.
- Number of terms in the sequence should be odd.
For the last condition (sum of first and last terms is zero) to be met, the one term in the sequence should be \(0\).
\(\implies\) sum of all the terms in the sequence is \(0\).
Answer is
A.
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90% (01:07) correct 
