Determine whether the given sequence is arithmetic, geometric, or neither. If th

Question

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. If the sequence is arithmetic or geometric, find the sum of the first 50 terms. 8--n 10 What type of sequence is 8- n? O Arithmetic O Geometric O Neither Select the correct choice below and fill in any answer boxes in your choice OA. ?B. ° C. There is no common difference or common ratio. Select the correct choice below and fll in any answer boxes in your choice The value of the common difference is (Type an integer or a simplified fraction.) The value of the common ratio is Type an integer or a simplified fraction.) The sum of the first 50 terms is (Type an integer or a simplified fraction.) The sequence is not arithmetic or geometric. OA. ( B.

Explanation / Answer

8 - 9/10 n

this is an arithmetic sequence

value of common difference is

an = a1 + (n-1) d

( n-1) d = -9/10 n

nd - d = -9/10 n

d = -9/10

teh sum of first 50 terms is

S50 = 50/2 [ 2* (71/10 ) + ( 50-1) (-9/10)]

S50 = -1495/2

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