In an AP,if a=28,d=-4,n=7, then what is an
Answers
Step-by-step explanation:
An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. It is obtained by adding the same fixed number to its previous term.
The nth term of an AP is
aₙ = a + (n - 1 )d.
a = first term
aₙ = nth term
d = common difference.
Considering the question, we get the value as,
aₙ = a + (n−1)d.
4 = a + (7 - 1) (-4)
4 = a + 6(-4)
4 = a - 24.
4 + 24 = a
a = 28.
Therefore, a = 28.
✦ Try This: Find the value of n. If a = 10, d = 5, an = 95
aₙ = 4
Correct question : In an AP , if a = 28 , d = - 4 , n = 7 , then what is aₙ
Given :
In an AP , if a = 28 , d = - 4 , n = 7
To find :
The value of aₙ
Concept :
The nth term of an AP is
aₙ = a + (n - 1 )d.
a = first term
aₙ = nth term
d = common difference.
Solution :
Step 1 of 2 :
Write down the given data
a = first term = 28
aₙ = nth term = ?
d = common difference = - 4
Number of terms = n = 7
Step 2 of 2 :
Calculate the value of aₙ
aₙ = a + (n - 1 )d
⇒ aₙ = a₇ = 28 + (7 - 1 )d
⇒ aₙ = a₇ = 28 + 6d
⇒ aₙ = a₇ = 28 + 6 × ( - 4)
⇒ aₙ = a₇ = 28 - 24
⇒ aₙ = a₇ = 4
Hence the required value of aₙ = 4
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