2 years ago

Solve this Algebra problem please, I can't figure it out.

Mathematics

1 answer:

vladimir1956 [14]2 years ago

8 0

Answer:

$45927/4096$

Step-by-step explanation:

Given is the geometric series, because the ratio of consecutive terms is common:

$r = 84/112 = 63/84 = 3/4$

The first term is 112.

So the nth term is:

$t_n = t_1*r^{n-1}$

The 9th term is:

$t_9 = 112*(3/4)^8=45927/4096$

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The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

vovikov84 [41]

Answer:

The first term is:

$a_1=-61$

Step-by-step explanation:

The arithmetic sequence is defined by

$a_n=a_1+\left(n-1\right)d$

where

$a_1$ is the first term

$d$ is the common difference

the 17th term of an arithmetic sequence is 51.

i.e. $a_{17}=51$

$a_n=a_1+\left(n-1\right)d$

$a_{17}=a_1+\left(17-1\right)d$

$51=a_1+\left(17-1\right)7$ ∵ $n = 17$ , $a_{17}=51$ , $d=7$

$a_1+112=51$ ∵ $\left(17-1\right)\cdot \:\:7=112$

$a_1=-61$

Therefore, the first term is:

$a_1=-61$

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3 years ago

What is the slipe of (-1,3) and (1,3) ?

Minchanka [31]

Answer:

0 theres no slope lol cause

3-3= 0

1--1=2

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3 years ago

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Alexxandr [17]

Answer:

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3 years ago

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What is the product of 8.4 times the quantity of 10 raised to the power of 7

TEA [102]

84,000,000 is the answer

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3 years ago

What is the value of the expression 3 1/4 - 1 7/8 =

Murljashka [212]

The answer is 45/8
You have make sure that the denominator has the same value!
31/4-17/8=62/8-17/8
=45/8

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3 years ago