How many terms A.P 2, 7, 12,............ must be taken to give a sum of 245.
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(i) 2, 7, 12 ,., to 10 terms. 2, 7, 12,..,to 10 term We know that Sum of AP = (2a + (n- 1) d) %3D Here n = 10, a = 2, & d = 7-2 = 2 Putting these in formula, Sum = (2a + (n- 1) d) %3D = (2 x 2 + (10 – 1) x 5) = 5(3 +9 x 5) = 5 (4 + 45)
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