Write the related series for the finite sequence 3, 7, 11, ..., 27. Then find the sum
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Answer: The sum =105Step-by-step explanation:It is given that, finite sequence 3, 7, 11, ..., 27. Points to remember1). For a finite sequence sum of n term is given bySum = n/2[first term + last term]2). nth term of of an APtₙ = a + (n - 1)dWhere a - First termd - common differenceTo find the number of terms in the given sequenceHere a = 3 and d = 7 - 3 = 4tₙ = a + (n - 1)d27 = 3 + (n - 1)*44(n -1) = 27 - 3 = 24n - 1 = 24/4 = 6n = 6 +1 =7To find the sumSum = n/2[first term + last term] = 7/2[3 + 27] = 7/2[30] = 7 * 15 = 105