Answered

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Find the 7th term in the
sequence
, 1, 3, 9,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term - 1)
Enter

Sagot :

MrRoyal

Answer:

The 7th term is 729

Step-by-step explanation:

Given

[tex]Sequence: 1, 3, 9...[/tex]

Required: Determine the 7th term

The given sequence is a geometric function. So, we calculate the common ratio (r) first.

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]r = \frac{3}{1}[/tex]

[tex]r = 3[/tex]

The nth term of gp is:

[tex]T_n = ar^{n-1[/tex]

Where

[tex]a = T_1[/tex]

The 7th term is:

[tex]T_7 = ar^{7-1[/tex]

[tex]T_7 = ar^6[/tex]

[tex]T_7 = 1 * 3^6[/tex]

[tex]T_7 = 729[/tex]

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