Find a1, d, and the Explicit Rule for this arithmetic sequence: -3, 4, 11, 18, 25, ...
1.)a1 =-3, d=-7, an = -7n - 3
2.)a1 =-3, d = 7, an = 7n - 10
3.)21 = -3, d =-7, an = -7n - 10
4.)a1 = -3, d = 7, an = 7n - 3

2.)a1 =-3, d = 7, an = 7n - 10

Step-by-step explanation:

In an arithmetic sequence, consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

an = a1 + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a1 = - 3

d = 4 - - 3 = 11 - 4 = 18 - 11 = 25 - 18 = 7

Therefore, the Explicit Rule for this arithmetic sequence is

an = - 3 + 7(n - 1)

an = - 3 + 7n - 7

an = 7n - 7 - 3

an = 7n - 10

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

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