anonymous
  • anonymous
Find the 20th term and the sum of the first 14 terms of this progression, 2, 5, 8, 11,.........?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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kropot72
  • kropot72
This is an arithmetic progression with the first term a = 2 and the common difference d = 3. The formula for finding the nth term of an AP is \[n _{th}\ term = a+(n-1)d\] To find the 20th term plug the values of a (2), n (20) and d (3) into the formula,
anonymous
  • anonymous
Given progression, 2, 5, 8, 11,......... is a arithmetic progression Here First term (a) = 2 and Common difference (d) = 5 - 2 = 3 We know, nth term can be represented as, an = a + (n - 1)d and sum of n terms = n/2{2a + (n - 1)d} To find 20th term of the series => a20 = a + 19 d = 2 + 19 * 3 = 2 + 57 = 59 => 20th term = 59 Sum of first 14 terms = 14/2{2 * 2 + (14 - 1) * 3} = 7{4 + 39} = 7 * 43 = 301 => Sum of first 14 terms = 301.
goformit100
  • goformit100
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