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tester [92]
3 years ago
9

The explicit formula for the geometric sequence 10,30,90,180

Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0

Answer:

a_{n} = 10 (3)^{n-1}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a (r)^{n-1}

where a is the first term and r the common ratio

Here a = 10 and r = 30 ÷ 10 = 3, thus

a_{n} = 10 (3)^{n-1}

luda_lava [24]3 years ago
7 0

Answer:

nth term =  10(3)^(n-1).

Step-by-step explanation:

General form is a1 r^(n-1)  where a1  is the first term and r is the common ratio and n is the term number.

For this sequence a1 = 10 and r = 30/10 = 3.

The explicit formula is  nth term =  10(3)^(n-1)

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