Find the value of 1 − 2 − 3 + 2 − 3 − 4 +... + upto 100 terms.

1.	Find the value of 1 − 2 − 3 + 2 − 3 − 4 +... + upto 100 terms. (a) −694 (b) −626 (c) −624 (d) −660
Answer» Correct option (b) −626 Explanation: The first 100 terms of this (1 − 2 − 3) + (2 − 3 − 4) + … + (33 − 34 − 35) + 34 The first 33 terms of the above series (indicated inside the brackets) will give an AP.−4, −5, −6.... −36 = 33 × −20 = −660 (sum of this A.P.). The required answer would be –660 + 34 = –626.

Find the value of 1 − 2 − 3 + 2 − 3 − 4 +... + upto 100 terms. (a) −694 (b) −626 (c) −624 (d) −660

Answer»

Correct option (b) −626

Explanation:

The first 100 terms of this (1 − 2 − 3) + (2 − 3 − 4) + … + (33 − 34 − 35) + 34

The first 33 terms of the above series (indicated inside the brackets) will give an AP.−4, −5, −6.... −36 = 33 × −20 = −660 (sum of this A.P.).

The required answer would be –660 + 34 = –626.

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Find the value of 1 − 2 − 3 + 2 − 3 − 4 +... + upto 100 terms. (a) −694 (b) −626 (c) −624 (d) −660

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