XAT 2015QA & DI Question 1

Arithmetic ProgressionEasy

What is the sum of the following series?
–64, –66, –68,……..….., –100

Answer & solution

  • A

    -1458

  • -1558

  • C

    -1568

  • D

    -1664

  • E

    None of the above

Solution

Number of terms = (100 – 64)/2 + 1 = 19
Sum = n/2 (a + an)
= 19/2 × (–64 –100) = –1558
Hence, option (b).

XAT 2015 QA & DI Q1: What is the sum of the following series? –64, –66, –68,……..….., – — Solution | TheCATExam