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Irina-Kira [14]
2 years ago
5

Find the explicit formula for the given sequence 1/4, 3/4, 5/4, 7/4​

Mathematics
2 answers:
Harlamova29_29 [7]2 years ago
8 0

Step-by-step explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have : a1=(1/4),  d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)

<em>hope this helps </em>

<em />

Setler [38]2 years ago
6 0

Answer:

Step-by-step explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have: a1=(1/4),  d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)

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Three times a number minus thirty-two
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Answer:

3n−32=7n+28

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Step-by-step explanation:

Let's solve your equation step-by-step.

3n−32=7n+28

Step 1: Subtract 7n from both sides.

3n−32−7n=7n+28−7n

−4n−32=28

Step 2: Add 32 to both sides.

−4n−32+32=28+32

−4n=60

Step 3: Divide both sides by -4.

−4n/−4=60/−4

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