Find the 8th term of the sequence if consider the sequence -2, -4, -8, -16,...

Sophie Marks

Sophie Marks

Answered question

2022-11-18

Find the 8th term of the sequence if consider the sequence -2, -4, -8, -16,...

Answer & Explanation

lavarcar2d2

lavarcar2d2

Beginner2022-11-19Added 18 answers

This is a geometric sequence. The standard sequence being:
a , ar , a r 2 , a r 3 , ... ... ... ... , a r n - 1
where a represents the 1st term , r , the common ratio and
a r n - 1 , the nth term
a r n - 1 is used to find any term in the sequence
In this question a = -2 , r = - 4 - 2 = - 8 - 4 = 2 and n = 8
a 8 = - 2 × ( 2 ) 7 = - 2 × 128 = - 256

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