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andrew-mc [135]
2 years ago
14

Indicate a general rule for the nh term of this sequence. 12a, 15a, 18a, 21a, 24a,...

Mathematics
1 answer:
adelina 88 [10]2 years ago
6 0

Answer:

The general rule for the nth term of this sequence will be:

a_n=3na+9a

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by  

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

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

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

substituting a₁ = 12a, d = 3a

a_n=12a+\left(n-1\right)3a

     =12a+3na-3a

     =3na+9a

Therefore, the general rule for the nth term of this sequence will be:

a_n=3na+9a

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2 years ago
PLEASE HELP!!!!!!!!!!!!!
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3 years ago
What fraction is greater 1/2 or 6/11
ivolga24 [154]
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7 0
2 years ago
A rectangular swimming pool is 30 feet wide and 40 feet long. How long is the diagonal of the pool?
larisa [96]

Answer:

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Step-by-step explanation:

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3 years ago
A bag of fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular
kvasek [131]

Answer:

14 bags

Step-by-step explanation:

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