Question

Emeka and Maricel were asked to find an explicit formula for the sequence 79,71,63,55, Emeka said the formula is h(n)=79-8(n-1) Maricel said the formula is h(n)=87-8n Which one of them is right?

Answer 1

Answer:

Actually the same

Step-by-step explanation:

Emekas formula : h(n)=79-8(n-1)

h(n)=79-8n+8

The result of Emekas formula : h(n)=87-8n (Maricels Formula)

Answer 2

Both the formulas for the sequence h(n)=79-8(n-1) and h(n)=87-8n will be the same.

What is arithematic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

It is given that Emeka and Maricel were asked to find an explicit formula for the sequences 79,71,63,55, Emeka said the formula is h(n)=79-8(n-1) Maricel said the formula is h(n)=87-8n.

Evaluate the two formulas:-

h(n)=79-8(n-1)

h(n)=87-8n.

Solve this formula.

h(n)=79-8(n-1)

h(n)=79-8n + 8

h(n)=87 - 8n  

From the calculations, it is clear that both the formulas are equal to each other.

Therefore, Both the formulas for the sequence h(n)=79-8(n-1) and h(n)=87-8n will be the same.

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