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

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

For 5th term will be

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

Option C. 14 is the answer.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: