Which of the following equations could be used to solve for the tenth term of the following sequence? 15, 13, 11, 9, ...
2 answers:
Answer:
Equations that could be used to solve for the tenth term of the sequence:
15, 13, 11, 9, ... is
b) A(10) = 15 + 9(-2)
Step-by-step explanation:
We are given a sequence:
15,13,11,9,...
The above sequence is an arithmetic progression with
first term=A(1)=15 and common difference=d=-2
Now, the nth term of an arithmetic progression is determined by the formula
A(n)= A(1)+(n-1)d
⇒ A(10)= 15+9(-2)
Hence, the correct option is:
b) A(10) = 15 + 9(-2)
Answer
b) A(10) = 15 + 9(-2)
<u>Explanation</u>
15, 13, 11, 9, ... This is an arithmetic sequence.
The common difference = 13 - 15 = -2
or = 9 - 11 = -2
The first term of the sequence = 15.
The nth term of an arithmetic sequence is given by:
Tn = a + (n - 1)d
∴ T₁₀ = 15 + (10 - 1)(-2)
= 15 + (9 × -2) ⇒ This is the expression you need.
= 15 + -18
= -3
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