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RoseWind [281]
3 years ago
15

Students are getting signatures for a petition to increase sports activities at the community center. The number of signatures t

hey get each day is 3 times as many as the day before. The expression 3^6 represents the number of signatures they got on the sixth day. How many signatures did they get on the first day?
Mathematics
1 answer:
ohaa [14]3 years ago
7 0

Answer:

The students got 3 signatures on first day.

Step-by-step explanation:

We are given the following in the question:

The number of signatures students get each day is 3 times as many as the day before.

Thus, the number of signatures form a geometric progression with common ratio 3.

r = 3

Number of signatures on sixth day = 3^6

n^{th} term in a geometric progression is given by:

a_n = ar^{n-1}

where a is the first term of the series and r is the common ratio.

a_6 = 3^6\\3^6 = ar^{5}\\3^6 = a(3)^5\\a = 3

Thus, the first term of geometric progression is 3.

Thus, the students got 3 signatures on first day.

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Help!!
ioda

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

<h3>What is a sequence?</h3>
  • A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
  • The length of the series is defined as the number of items (which could be infinite).
  • Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
  • Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
  • The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

Know more about sequences here:

brainly.com/question/6561461

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2 years ago
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Gre4nikov [31]

Answer:

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Step-by-step explanation:

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