MATHEMATICS HIGH SCHOOL

What is the fifth term of a sequence whose first term is 5 and whose common ratio is 3?A. 243
B. 405
C. 1,215

Answers

Answer 1
Answer:

The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.

What is a geometric sequence?

A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The first term is 5 and its common ratio is 3. Then the formula is given as,

aₙ = 5 · (3)ⁿ⁻¹

The fifth term of a sequence will be given as,

a₅ = 5 · (3)⁵⁻¹

a₅ = 5 · (3)⁴

a₅ = 5 · 81

a₅ = 405

The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.

More about the geometric sequence link is given below.

brainly.com/question/11266123

#SPJ2
Answer 2
Answer: a=first term
r=common ratio
n=the term 
a(5)=5*3(5-1)
a(5)=5*81
a(5)=405
The answer is B)

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a company manufactures and sells novelty Mugs. the manufacturing cost consist of a fixed cost of R8000 and a variable cost of R15 rand per mug. the mugs are sold at R35 each. assume a linear profit function. determine the profit function

Answers

ok so

8000=cost
profit-8000
then
another cost is 15rand per mug
but profit of 35 rand
35-15=20
profit of 20rand per mug

profit=R20m-8000
where m=number of mugs sold
(R20 means 20 rand)


f(m)=R20m-8000

What is reference angle for 150 degrees

Answers

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24,25,26 is a pythagorean triplet. True or fals​

Answers

Step-by-step explanation:

for this the Pythagoras equation must be true :

c² = a² + b²

c is the Hypotenuse the dude opposite of the right angle in a right-angled triangle.

as such it had to be the longest side.

so, c = 26

and we get

26² = 24² + 25²

676 = 576 + 625 = 1201

wrong, 1201 is not equal to 676, so, 24, 25, 26 are NOT a pythagorean triplet.

theinitialstatementisfalse.

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Answers

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Answers

Angelica's gross income from the two jobs for the last year is $22,429.68. 

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Answer:

Angelica's gross income from the two jobs last year is $22,429.68

Step-by-step explanation:

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while on the second W-2 form, the figure in box 1 was $8791.42.

Income from first job is $13,638.26

Income from second job is $8791.42

Total income = first job income + second job income

=13638.26 + 8791.42 = 22,429.68

Angelica's gross income from the two jobs last year is $22,429.68

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The place where a line or gurve crosses, or touches, the y axis

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Answers

Answer:

Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.
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