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

= 10

Step-by-step explanation:

The n th term of a geometric sequence is

= a

where a is the first term and r the common ratio

Here a = 10 and r = 30 ÷ 10 = 3, thus

= 10

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)

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24