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Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, negative 10, point 2, negative 7, point 3, negative 4, point 4, negative 1, point 5, 2, and point 6, 5

2 Answers

6 votes

Answer:

a1=-10; d=3

Explanation:

User Smitkpatel
by
8.7k points
7 votes

Answer:


a_1=-10


d=3

Explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference (d)

In this problem we have the ordered pairs


(1,-10),(2,-7),(3,-4),(4,-1),(5,2),(6,5)

Let


a_1=-10\\a_2=-7\\a_3=-4\\a_4=-1\\a_5=2\\a_6=5

Find the difference between one term and the next


a_2-a_1=-7-(-10)=3


a_3-a_2=-4-(-7)=3


a_4-a_3=-1-(-4)=3


a_5-a_4=2-(-1)=3


a_6-a_5=5-2=3

The difference between one term and the next is a constant

This constant is the common difference

so

The sequence graphed is an Arithmetic Sequence

therefore

The first term is
a_1=-10

The common difference is equal to
d=3

User David Henderson
by
8.6k points

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