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sergejj [24]
3 years ago
12

the third term of an arithmetic sequence is 24 and the fifth is 32 if the first term is a1. which is an equation nth term of the

sequence
Mathematics
2 answers:
const2013 [10]3 years ago
8 0
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
Fudgin [204]3 years ago
6 0

Answer:

The nth term of the sequence is a_n=4n+12

Step-by-step explanation:

Given: a_3=24,\ \ a_5=32

First term: a_1

Formula:

a_n=a_1+(n-1)d

where, d is common difference

a_3=24

a_1+2d=24

a_1+4d=32

Subtract both equation

2d=32-24

2d=8

d=4

Put d=4 into a_1+2d=24

a_1+2(4)=24

a_1=16

Now, we will find nth term of the sequence.

a_n=16+(n-1)4

a_n=16+4n-4

a_n=4n+12

Hence, The nth term of the sequence is a_n=4n+12

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