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write an explicit formula for an nth term of the sequence 7, 35, 175,....

Sagot :

hello

to write an explicit formula, we have to determine what type of sequence is it

7, 35, 17

this is clearly a geometric progression with values of

first term = 7

common ratio = 5

the explicit formula of a geometric progression is given as

[tex]\begin{gathered} a_n=a\cdot r^{(n-1)}^{} \\ n=\text{nth term} \\ a=\text{first term} \\ r=\text{common ratio} \end{gathered}[/tex]

now let's substitute the variables into the equation

[tex]\begin{gathered} a_n=a\cdot r^{(n-1)} \\ a_n=7\cdot5^{(n-1)} \\ a_n=35^{(n-1)} \end{gathered}[/tex]

the equation above is the explicit formula for the sequence

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