Respuesta :

Answer: -202

Step-by-step explanation:

The other answer is wrong, because they forgot a small part in solving the problem. The computer says this answer is right so try this one.

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

Learn more about sequence

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