In an AP an=4n-2,find a5.
Answers
Answer:
a_n = 4n + 2
Then,
a_5 = 4(5) + 2
= 20 + 2
= 22
Therefore, a_5 = 22.
a₅ = 18
Correct question : In an AP aₙ = 4n - 2 find a₅
Given :
In an AP aₙ = 4n - 2
To find :
The value of a₅
Solution :
Step 1 of 2 :
Write down nth term of the Arithmetic progression
Here it is given that nth term of an Arithmetic Progression is given by
aₙ = 4n - 2 - - - - - (1)
Step 2 of 2 :
Find 5th term of the arithmetic progression
Putting n = 5 in both sides of Equation 1 we get
a₅ = (4 × 5) - 2
⇒ a₅ = 20 - 2
⇒ a₅ = 18
∴ 5th term of the arithmetic progression
= a₅
= 18
Hence the value of a₅ = 18
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