What are the solutions to the equation (x – 2)(x + 5) = 0?
1 answer:
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Answer:
The equation for the nth term of the given arithmetic sequence is:
Step-by-step explanation:
We need to write an equation for the nth term of the arithmetic sequence:
15,28,41 ....
The equation for arithmetic sequence is:
Where is the nth term,
is first term and d is common difference
In the given sequence we have:
a₁ = 15
a₂ = 28
We can find common difference using the formula:
So, the common difference d is 13
Now, equation for nth term will be:
So, the equation for the nth term of the given arithmetic sequence is:
where n=1,2,3..
Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
where, is first term, d is common difference.
Substitute in the above formula.
The 500th term of the sequence is 3018.
Therefore, the correct option is A.