Answer :

Answer:

189 is the next number bacause we multiply 3+3+3=9 now, 9+9+3=21, again ,21+21+3=45 ,again 45+45+3, therefore we observed that this number add itself and its last add 3 so, 93+93+3=189

The next term will be of the sequence is 189.

What is sequence ?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

According to the question

The sequence:       3,    9,    21,    45,    93,

Next term be x

The sequence:       3,    9,    21,    45,    93,    x

Difference :                 6    12      24     48    

as we can see that

every difference is difference of previous terms *2

i.e

6*2 = 12

12*2 = 24

24*2 = 48

48*2 = 96

Therefore ,

The sequence:       3,    9,    21,    45,    93,    x

Difference :                 6    12      24     48    96

i.e

x = 96 + 93

x = 189

Hence , the next term will be of the sequence is 189.

To know more about sequence here:

https://brainly.com/question/21961097

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