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pshichka [43]
2 years ago
11

All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou

rs.
How many hours would this job take if the number of workers increased by factor of 4?
Mathematics
1 answer:
beks73 [17]2 years ago
8 0

Answer:

All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours.

Step-by-step explanation:

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15, 11, 7, 3, -1, ... explicit formula and recursive formula
monitta

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Step-by-step explanation:

Given sequence is:

15,11,7,3,-1

Here

a_1 = 15\\a_2 = 11\\a_3 = 7

First of all, we have to find the common difference

Common difference is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2-a_1 = 11-15 = -4\\d = a_3-a_2 = 7-11 = -4

<u>Recursive Formula:</u>

A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference

General form of recursive formula for a given common difference d is:

a_n = a_{n-1} + d

Putting the value of d

a_n = a_{n-1} -4

<u>Explicit Formula:</u>

The explicit formula is given by:

a_n = a_1 + (n-1)d

Putting the first term and common difference

a_n = 15 + (n-1)(-4)\\a_n = 15 -4n+4\\a_n = 19-4n

Hence,

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/726990
  • brainly.com/question/725998

#LearnwithBrainly

4 0
3 years ago
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