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kap26 [50]
3 years ago
9

Determine the common ratio and find the next three terms of the geometric sequence

Mathematics
2 answers:
viva [34]3 years ago
7 0

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

murzikaleks [220]3 years ago
3 0

Answer:

Option (b) is correct.

The three terms of the GP are 12,12\sqrt{2},24 with common ratio \sqrt{2}

Step-by-step explanation:

Consider the given geometric sequence 3\sqrt{2},6,6\sqrt{2}......

Geometric sequence is a sequence of numbers where each term  is find by multiplying the previous one by a fixed number called the common ratio (r).

a,\ ar,\ ar^{2},\ ar^{3},\ ar^{4},\ \ldots

Consider the first two terms of the given GP.

a=3\sqrt{2},ar=6 thus r can be find by dividing ar by a,

thus the common ratio is r=\frac{6}{3\sqrt{2}}=\sqrt{2}

Now we have to find the next three terms of GP . so multiply r in given last term to obtain next three terms , we get ,

6\sqrt{2} \times \sqrt{2}=6\times 2= 12 \\\\\\12 \times \sqrt{2}= 12\sqrt{2}\\\\\\\12\sqrt{2} \times\sqrt{2}=24

Thus, the three terms of the GP are 12,12\sqrt{2},24 with common ratio \sqrt{2}.

Option (b) is correct.




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