3 years ago

Solve each equation. check you solution. 14 - 2(3p + 1) = 6(4+p)

Mathematics

1 answer:

german3 years ago

4 0

Distribute:
14-6p-2=24+6p

Simplify:
12-6p=24+6p
-12=12p

Divide by 12:
P=-1

Check:
14-2(-3+1)=6(4-1)
14+4=18
18=18

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Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

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3 / 5 = (x+1) / (y-2)
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