Find the next term of the sequence.
16, 9, 2, -5,
Math ,please help me it’s due at 11:00

-12

Explanation:

Given:

16, 9, 2, -5

Required:

Next term of the sequence (the 5th term)

SOLUTION:

The sequence given is an arithmetic progression. Because it has a the same common difference between each successive terms, i.e. 9 - 16 = -7; 2 - 9 = -7; -5 - 2 = -7.

Any term of an arithmetic sequence can be calculated using the formula: Tn = a + (n - 1) d,

Where, a = first term = 16

Tn = nth term

n = 5 (we are looking for the 5th term which is the next term of the sequence)

d = commons difference = -7

Plug the above values into the nth term formula for AP:

Tn = a + (n - 1) d

5th term = 16 + (5 - 1)-7

5th term = 16 + (4)-7 = 16 - 28

5th term = -12

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well wheres the question