If nth term of an Arithmetic progression is 3n – 2, then find its 5th term.
Answers
Answer:
the answer is
5×(3n-2)
=15n-10
Answer:
13
Step-by-step explanation:
Concept= Arithmetic Progression
Given= The nth term of AP
To find= The 5th term of AP
Explanation=
We have been given the nth term of an Arithmetic Progression and told to find, the fifth term of the Arithmetic Progression.
When the nth term of an Arithmetic Progression is given we find its term by substituting values of n as 1,2,3......
This gives us the 1st term, 2nd term and so on
So the nth term given of Arithmetic Progression is
aₙ= 3n - 2
Soon substituting value of n=1 we get
a₁= 3*1 -2 = 1
Further doing it for n=2,3,4,5
n=2, a₂=3*2-2= 6-2=4
n=3, a₃=3*3-2=9-2=7
n=4, a₄=3*4-2=12-2=10
n=5,a₅=3*5-2=15-2=13
So the 5th term is coming out as 13
The AP is 1,4,7,10,13,.......
Therefore 5th term of Arithmetic Progression with nth tern 3n-2 is 13.
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