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Four consecutive terms of an increasing AP add up to 20, and the sum of their squares is 120. Find the terms.

Class 10Properties and Selection of AP TermsAlgebra — Sequences
  • A1, 4, 7, 10
  • B2, 4, 6, 8
  • C−1, 3, 7, 11
  • D3.5, 4.5, 5.5, 6.5

Step-by-Step Solution

. Sum of squares = , so and the terms are 2, 4, 6, 8. The other options also add to 20 but their squares total 166, 180 and 105.
Answer: B) 2, 4, 6, 8

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