Calculate the sum between the terms t16 and t53 of an arithmetic sequence with first term...

Question

Question

Calculate the sum between the terms
t16 and t53 of an arithmetic sequence with
first term 543 and
common difference –12.

business accounting

Answer 1

Answer #1

First term (a) = 543

Common difference (d) = –12

nth term of an arithmetic sequence can be calculated using the following formula:

tn = a + (n - 1)d

t16 = 543 + (16 - 1) x - 12

= 543 - 180

= 363

t53 = 543 + (53 - 1) x - 12

= 543 - 624

= - 81

Sum of t16 and t53 = 363 - 81

= 282

Answer 2

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