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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 2 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Krish Raj 2 years, 3 months ago

    1001

    1Thank You

    Arpit Singh 2 years, 3 months ago

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

    2Thank You

    K. Hema 2 years, 3 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

    2Thank You

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