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Question
The 11th term of the AP: `-5, (-5)/2, 0, 5/2, ...` is ______.
Options
–20
20
–30
30
Solution
The 11th term of the AP: `-5, (-5)/2, 0, 5/2, ...` is 20.
Explanation:
First term, a = – 5
Common difference,
d = `5 - ((-5)/2)`
= `-5/2 + 5`
= `(-5 + 10)/2`
= `5/2`
n = 11
We know that the nth term of an AP is
an = a + (n – 1)d
Where,
a = first term
an is nth term
d is the common difference
a11 = `-5 + (11 - 1)(5/2)`
a11 = `-5 + (10)(5/2)`
a11 = – 5 + 5(5)
a11 = – 5 + 25
a11 = 20
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