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Find the sum of ap 7 …

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Find the sum of ap 7 10.5 14.........84

Posted by Ali Ahamad Khan 1 year, 9 months ago

CBSE > Class 10 > Mathematics

3 answers

Krish Raj 1 year, 9 months ago

1001

Arpit Singh 1 year, 9 months ago

Sn=n/2(a+l) where a=first term & l=last term then put the value in formula

K. Hema 1 year, 9 months ago

The sum of the first n terms of an Arithmetic Progression is given by Sₙ = n/2 [2a + (n - 1) d] or Sₙ = n/2 [a + l], and the nth term of an AP is aₙ = a + (n - 1)d Here, a is the first term, d is the common difference and n is the number of terms and l is the last term. (i) 7 + 10 ½ + 14 + .... + 84 Given, First-term, a = 7Common Difference, d = 10 ½ - 7 = 21/2 - 7 = 7/2Last term, l = 84 To find the total number of terms, we will use the formula a + (n - 1) d. l = aₙ = a + (n - 1) d 84 = 7 + (n - 1) 7/2 77 = (n - 1) 7/2 22 = n - 1 n = 23 Hence, n = 23 Sₙ = n/2 [a + l] S₂₃ = 23/2 [7 + 84] = (23/2) × 91 = 2093/2 = 1046 ½

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