Verified Solution • 2025–26 Session moderate

QJEEM24Ma230e: JEE Main 2024 Mathematics - Class 11 JEEM24Ma230e Solution: Let 2 nd  , 8 th  and 44 th  terms of a…

Let 2nd ,8th  and 44th  terms of a non-constant A. P. be respectively the 1st ,2nd  and 3rd  terms of a G. P. If the first term of the A. P. is 1, then the sum of its first 20 terms is equal to -

Multiple Choice Options

  • A 990
  • B 980
  • C 960
  • D 970

Step-by-Step Verified Solution

1+d,1+7d,1+43d are in GP (1+7d)2=(1+d)(1+43d)1+49d2+14d=1+44d+43d26d2−30d=0d=5S20=202[2×1+(20−1)×5]=10[2+95]=970

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