The arithmetic sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = - 53a 1 = -53a, start subscript, 1, end subscript, equals, minus, 53 a_i = a_{i - 1} + 6a i = a i-1 + 6a, start subscript, i, end subscript, equals, a, start subscript, i, minus, 1, end subscript, plus, 6 Find the sum of the first 880880880 terms in the sequence.

S880 = 2,273,920

Step-by-step explanation:

For an arithmetic sequence, a1 = - 53 and

when n = 2,

The first 3 terms forms an arithmetic sequence as shown;

-53, - 47, - 41 ...

Sum of nth term of an arithmetic sequence is expressed as;

a is the first term = - 53

n is the number of term = 880 (since we want to find the sum of the first 880 terms)

d is the common difference = 6

S880 = 880/2 {2 (-53) + (880-1) 6}

S880 = 440{-106 + (879) 6}

s880 = 440{-106+5274}

S880 = 440 * 5168

S880 = 2,273,920