What is the 4th term of the linear sequence below? -9,-5, -1,3,7,...

Mathematics

1 answer:

Anton [14]3 years ago

7 0

Answer:

The 4th term of the linear sequence = 3

Step-by-step explanation:

First term, a = -9

Common difference, d = -5 - (-9)

= -5 + 9

= 4

d = 4

The 4th term of the linear sequence = a + (n - 1)d

where,

n = 4

a + (n - 1)d

= -9 + (4 - 1)4

= -9 + (3)4

= -9 + 12

= 3

The 4th term of the linear sequence = 3

You might be interested in

Will, Mike, and Sue went to dinner. Will paid 1/3 of the dinner bill. Micah and Sue paid in the ratio 2:3. If Sue paid $6 more t

raketka [301]

Let's call their parts w,m and s

if will paid 1/3, then m+s=2w (they paid 2/3, which is twice as much as will did)

Now, we know that:
Micah and Sue paid in the ratio 2:3.
this means the 3m=2s

and m=2/3s

Again:
m+s=2w

and we substitute m:
2/3s+s=2w
5/3s=2w// multiply both sides by 3
5s=6w

we also know that s=w+6 (from the last sentence) so we substitute:

5(w+6)=6w
5w+30=6w
30=w

so, Will paid 30, Sue paid 36 (six more than him), Mike paid 24 (24:36 is the same ratio as 2:3, you can check this by dividing both 24 and 36 by 12: you have 2 and 3)

and the total was 30+36+24=90.

3 0

3 years ago

Find (- 18) + (-25) + 13. -56 20 -30 -6

insens350 [35]

Answer: -30

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A scale drawing of Joshua's living room is shown below: width 4 length 6 If each 2 cm on the scale drawing equals 4 feet, what a

krok68 [10]

8ft by 12ft

the real question is why they randomly switched from metric to standard system. :P