Find the nth term of the sequence -2,6,14,22...

Mathematics

1 answer:

ankoles [38]2 years ago

6 0

Answer:

$\boxed{a_{n} = 2(4n - 5)}$

Step-by-step explanation:

<u>Given</u> :

⇒ a = -2

⇒ d = 14 - 6 = 8

<u>Formula for nth term</u> :

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

<u>Solving</u> :

⇒ aₙ = -2 + (n - 1)(8)

⇒ aₙ = -2 + 8n - 8

⇒ aₙ = 8n - 10

⇒ aₙ = 2(4n - 5)

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<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The question is incomplete.

The complete question is in the picture, please refer to the picture.

Total number of pieces = 3+5 = 8

So, the purple pieces = 5(5/8) = 35

Total pieces = 20/(5/8) = 4×8 = 32

Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

Learn more about the ratio here:

brainly.com/question/13419413

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