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Sedaia [141]
3 years ago
9

What is the sum of the first 20 terms of a finite geometric series where a1 =3 and r = 3/2

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer: The answer should be 6

Step-by-step explanation:

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How many times does seven go into three hundred ninety four
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Answer: 56 times.

Step-by-step explanation:

394/7 = 56.3

56 * 7 = 392

392 + 7 = 399

399 is more than 394, therefore the answer is 56.

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Find the 63rd term of the arithmetic sequence -1, 5, 11, ...−1,5,11,...
Ugo [173]

Answer:

a_6_3=371

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference

we have

-1,5,11,...

Let

a_1=-1\\a_2=5\\a_3=11

a_2-a_1=5-(-1)=5+1=6

a_3-a_2=11-5=6

The common difference is d=6

We can write an Arithmetic Sequence as a rule

a_n=a_1+d(n-1)

where

a_n is the nth term                

d is the common difference

a_1 is the first term

n is the number of terms

Find the 63rd term of the arithmetic sequence

we have

n=63\\d=6\\a_1=-1

substitute

a_6_3=-1+6(63-1)

a_6_3=-1+6(62)

a_6_3=-1+372

a_6_3=371

6 0
3 years ago
Which of these graphs represents the inequality x &lt;10
PtichkaEL [24]

Answer:

There are no graphs, but the graph should look lyke this:

An open circle on the point "10"

And from the 10, the arrow should be going left, towards the negatives, or smaller numbers than the ten

8 0
2 years ago
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