3 years ago

How do I solve this problem??

1 answer:

3 0

They're the same like integers.
First you should interpret it.
For example:
a. -3x + 8x is the same like -3 + 8. You just add x.
Which is 5x.

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what is the sum of a 7-term geometric series if the first term is negative 11 the last turn is -45056 and the common ratio is -4

patriot [66]

For a geometric sequence with common ratio $r$ , we have

$a_n=a_{n-1}r$

that is, the $n$ -th term in the sequence is the product of the previous term and the common ratio $r$ . So

$a_n=a_{n-1}r=a_{n-2}r^2=\cdots=a_1r^{n-1}$

Then the sum of the first 7 terms is

$S_7=\displaystyle\sum_{n=1}^7a_n=a_1+a_2+\cdots+a_7$
$\implies S_7=a_1+a_1r+\cdots+a_1r^6$

Notice that

$S_7r=a_1r+a_1r^2+\cdots+a_1r^7$

so we can subtract this modified sum from $S_7$ to get

$S_7-S_7r=S_7(1-r)=a_1-a_1r^7\implies S_7=a_1\dfrac{1-r^7}{1-r}$

We're told that $a_1=-11$ and $r=-4$ , so the sum of the first 7 terms is

$S_7=(-11)\dfrac{1-(-4)^7}{1-(-4)}=144,188$

3 0

3 years ago

What is 1/5 times 10x?

grigory [225]

Answer:

Step-by-step explanation:

10x/5 is the same as 1/5 times 10x.

Simplify to get 2x

8 0

3 years ago

Read 2 more answers

2. What is the pay rate for someone who works 3 hours and earns $21?