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Find tha sum of first 51 …

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Find tha sum of first 51 term of an ap whose second and third term are 14 and 18 respectively?

Posted by Rampal Singh 5 years, 5 months ago

ICSE & ISC > Class 10 > Mathematics

1 answers

Lokesh C S 5 years, 5 months ago

a + 2d = 14 a + 3d = 18 On solving these equations - d = -4 or d= 4 and a = 6. AP will be 6 , 14 , 18 , ........ n= 51 , a = 6 and d = 4 S 51 = n/2[2a + (n-1) d] Substituting the values , S51 = 51/2 [ 2×6 + ( 51 - 1 ) 4 ] = 51/2 [ 12 + 200 ] = 51/2 × 212 = 51 × 106 = 5406

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ICSE & ISC > Class 10 > Mathematics