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Mariana [72]
2 years ago
12

Which two expressions are equivalent?

Mathematics
2 answers:
serg [7]2 years ago
5 0

Answer:

The First one and the third one

Step-by-step explanation:

All you have to do is the distributive property and multiply 7 times 3x and 7 times 2 to get 21x + 14. Then you add like terms for the third one and get x2+5.

Do this help? :)

Mnenie [13.5K]2 years ago
4 0

Answer:

I believe it's the first one

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In a GP if T3 = 18 and T6 = 486 Find:- T10
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Answer:

The 10th term of the G.P is 29.              

Step-by-step explanation:

Given : In a GP if T_3=18 and T_6 = 486.

To find : The term T_{10} ?

Solution :

The geometric sequence is in the form, a,ar,ar^2,ar^3,...

Where, a is the first term and r is the common ratio.

The nth term of G.P is T_n=ar^{n-1}

We have given, T_3=18

i.e. T_3=ar^{3-1}

18=ar^{2} ....(1)

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486=ar^{5} ....(2)

Solving (1) and (2) by dividing them,

\frac{486}{18}=\frac{ar^{5}}{ar^{2}}

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r=\sqrt[3]{27}

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Substitute in (1),

18=a(3)^{2}

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The 10th term, of GP is given by,

T_{10}=2+(10-1)3

T_{10}=2+(9)3

T_{10}=2+27

T_{10}=29

Therefore, The 10th term of the G.P is 29.

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