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2 years ago

Answer each question about the following arithmetic series:

Mathematics

2 answers:

den301095 [7]2 years ago

7 0

Answer:

a1=6

a2=15

a3=24

a4=33

Hope this helps!

jeka942 years ago

4 0

Answer:

Step-by-step explanation:

edge

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

3 years ago

12 more than a number P is 17

Alenkasestr [34]

Answer:

p=5

Step-by-step explanation:

Please give brainliest

7 0

2 years ago

A wheel with a circumference of 3 inches is rotating at 5 rotations per minute. I is the distance the wheel travels in one minut

Andreas93 [3]

So circumference is the distance around the wheel
that is the part that is actually touching the ground
so therefor the wheele travels 3 inches per rotations
5 rotations per minute
we have to find the distance
3 times (number of roations) times 1 minute=3 times 5 times 1=15
answer is 15 in per miute
I=15

7 0

3 years ago

Construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j

beks73 [17]

Answer:

the required matrix is can be given as

8 0

2 years ago

Pls help I don’t under stand this

kati45 [8]

Hello Queengirl0

Past tense:

Melissa has a full chocolate bar 8/8

At lunch:

Melissa ate 2/8 of the candy bar, 8/8 - 2/8 = 6/8

After school:

Melissa ate 3/8 of the candy bar, 6/8 - 3/8 = 3/8

Melissa has 3/8 of a chocolate bar left

5 0

2 years ago

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