Q1.What’s the Nth term of 10, 7, 4, 1...
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Step-by-step explanation:
Answer:
The nth term of the given sequence is (13 - 3n).
Step-by-step explanation:
Given sequence :
10, 7, 4 , 1, ...
To find :
the nth term
Solution :
⇒ The Arithmetic Progression is a sequence of terms where each term is obtained by adding a constant to the preceding term.
⇒ The given sequence is an Arithmetic Progression since each term is obtained by adding '-3' to the preceding term.
The first term, a = 10
common difference, d = 7 - 10 = -3
The nth term of an A.P is given by,
aₙ = a + (n - 1)d
Substitute the values,
aₙ = 10 + (n - 1)(-3)
aₙ = 10 - 3n + 3
aₙ = 13 - 3n
∴ The nth term of the given sequence is (13 - 3n)
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