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solong [7]
3 years ago
7

22

Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

13 and 7

Step-by-step explanation:

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.
anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

a_1=-12\\a_2=-7\\a_3=-2\\a_4=3

d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference

Putting the values in the formula

a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n

Putting n=32 in explicit formula

a_{32}=-17+5(32)\\=-17+160\\=143

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

6 0
3 years ago
Two equations are given below: m + 4n = 8 m = n - 2 What is the Solution ?
Sophie [7]
M+4n=8
m=n-2
we see that m=n-2
so we can subsitute 'n-2' for m in the first equation
(n-2)+4n=8
n-2+4n=8
5n-2=8
add 2 to both sides
5n=10
divide by 5
n=2
subsitute
n=2
m=n-2
m=2-2
m=0

m=0
n=2

the answer is c. 0,2
7 0
3 years ago
PLZ HELP ME I NEED HELP
NemiM [27]

Answer:

A,C and B

Step-by-step explanation:

4 0
3 years ago
What is 10% of 82. plz help I don't know what it is​
alexira [117]

Answer: 8.2 ,bro

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Cos(7π/6)= a. 1/2 b.-1/2 c.√3/2 d.-√3/2 Help please?
olga nikolaevna [1]

Answer:

D. -√3/2

Step-by-step explanation:

Remember your unit circle.

Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.

3 0
3 years ago
Read 2 more answers
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