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3 years ago

Find r for the geometric series s5=244 a1=4 and a5=324

Mathematics

1 answer:

GaryK [48]3 years ago

8 0

Answer:

-3

Step-by-step explanation:

an = a1·r^(n-1) . . . . . . general term of a geometric sequence

a5 = 324 = 4·r(5-1) . . . specifically, the 5th term

81 = r^4 . . . . . . . . . . . divide by 4

Since the sum of 5 terms is less than the 5th term, the value of r must be negative:

$r=-\sqrt[4]{81}=-3$

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(01.04)

Ymorist [56]

Answer:2

Step-by-step explanation: the equation is in linear form y=mx+b, the b represents the y intercept in your equation that would be -5

5 0

3 years ago

Explain the process and the properties you have to use to solve the logarithmic equation: log(3)x + log(3)4 - 2 log(3)3 = 2

Akimi4 [234]

81/4

Step-by-step explanation:

$log_{3}( \frac{4x}{{3}^{2} } ) = 2$

${3}^{2} = \frac{4x}{ {3 }^{2} }$

9=4x/9

81=4×

x=81/4

adding logs means elements are multiplied, subtracting means divide. number in front of log is raised to power

base of log is raised to power of element after =

element in log is then equal to log base raised to power

solve resulting equation

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3 years ago

Simplify: 3 . 3^2 + 8 ÷ 2 - (4 + 3) A: 32 B: 24 C: 23 D: 30

yaroslaw [1]

Answer:

its none of these answers ;-;

Step-by-step explanation:

3^2 + 8 ÷ 2 - (4 + 3)

we do what's in parentheses first. (pemdas)

so now we have, 3^2 + 8 ÷ 2 - 7

next exponents, 3^2=9

9 + 8 ÷ 2 - 7

next division, 8÷2=4

9 + 4 - 7

next addition, 9+4=13

13-7

finally subtraction, 13-7=6

final answer: 6

7 0

3 years ago

9x-15-10x-7 someone help me

Maurinko [17]

19x - 22 is you combine like terms!

3 0

3 years ago

Read 2 more answers

You are dealt one card from a 52-card deck. find the probability that you are not dealt a two

Rina8888 [55]

There are 52 cards in a deck.

First we find the probability of drawing a 2

There are 4 cards that shows 2

Probability of drawing a 2 card fro 52 cards = 4 / 52

We know that P( not A) = 1 - P(A)

So the probability (not dealt a 2) = 1 - probability (dealt a 2)

= 1 - 4/52

= (52 - 4)/ 52 = 48/52

Now we simplify the fraction

48/ 52 = 12/13

Hence, the probability( not dealt a 2) = 12/13

7 0

3 years ago