The solution of given question is -99.
What is sequence?
A sequence is defined as an arrangement of numbers which is particular order.
Given that,
1−3+2−4+3−5 + ⋯ +101−103.
Above sequence also can be written as
{1+2+3+...+101} - { 3+4+5....+103}
∵ S = n/2 [2a+(n-1)d] using formula,
⇒101/2[ 2×1+ (101-1)(1)] - {100/2[2×3+(100-1)(1)}
⇒101/2[2+100] - 100/2[6+99]
⇒101/2[102] - 100/2[105]
⇒5151 - 5250
⇒-99
Thus, the solution of given question is -99
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