Jared creates a number sequence that’s has a first term of 2 and a second term of 5

Sn = 2+3n

Step-by-step explanation:

Complete question

Jared creates a number sequence that has a first term of 2 and a second of term of 5. Each term after the second is created by subtracting the term before the previous term from twice the previous term. He uses S (t) to denote term number t in his sequence. For example, S (1) =2 and S (2) = 5

Let the sequence be 2, 5,...

We are to find the nth term of the sequence

The nth term of an arithmetic sequence is expressed as

Sn = a+(n-1)d

a is the first term = 2

d is the common difference = 5- 2 = 3

Substitute

Sn = 5 + (n-1)(3)

Sn = 5+3n-3

Sn = 2+3n

Hence the nth term of the sequence is 2+3n

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.