Question

What is the next term in the sequence 58, 47, 36, 25, ...? –58 –8 14 69

Answer 1

Answer:

Option C. 14

Step-by-step explanation:

Given sequence is 58, 47, 36, 25.....

We have to find the next term of this sequence.

Firstly we have to check whether sequence is arithmetic or geometric.

For Arithmetic sequence....

Common difference = 47 - 58 = (-11)

                                  = 36 - 47 = (-11)

                                  = 25 - 36 = (-11)

Common difference is (-11) for every succeeding term, so sequence is an arithmetic sequence.

For geometric sequence

common ratio = 47÷58 ≠ 36÷47 ≠ 25÷36

So ratio is not equal which clearly tells that this sequence is not a geometric sequence.

Now next term of the arithmetic sequence will be given by the explicit formula $T_{n}=a + (n-1)d$

For 5th term will be

T(5) = 58 + (5 - 1)(-11) = 58 + (-11)4 = 58 - 44 = 14

Option C. 14 is the answer.

Answer 2

The answer is 14 
I hope this helps!