- Use an appropriate formula to calculate how many terms there are in the sequence 2, 10, 50, ...31250.

*please put full solution

7 terms

Step-by-step explanation:

There is a common ratio between consecutive terms, that is

r = 10 ÷ 2 = 50 ÷ 10 = 5

This indicates the sequence is geometric with nth term

= a₁

where a₁ is the first term and r the common ratio

Here a₁ = 2 and r = 5, then equating to 31250 and solving for n

2 × = 31250 ( divide both sides by 2 )

= 15625 =

Since bases on both sides are equal, both 5, equate exponents

n - 1 = 6 ( add 1 to both sides )

n = 7

That is there are 7 terms in the sequence

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

the correct answer is a.) bc< mn 5 stars if this you : )

step-by-step explanation: