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Summing Arithmetic Progressions
Q1)
An arithmetic progression has a first term of
4
and a common difference of
5
Find the sum of the first
100
terms.
Sum =
Q2)
An arithmetic progression has a first term of
-7
and a common difference of
7
Find the sum of the first
200
terms.
Sum =
Q3)
An arithmetic progression has a first term of
17
and a common difference of
-3
Find the sum of the first
78
terms.
Sum =
Q4)
An arithmetic progression has a first term of
-20
and a common difference of
12
Find the sum of the first
15
terms.
Sum =
Q5)
An arithmetic progression has a first term of
-5
and a common difference of
3
Find the sum of the terms between
100
and
200
inclusive.
Sum =
Q6)
An arithmetic progression has a first term of
7
and a common difference of
-5
Find the sum of the terms between
70
and
85
inclusive.
Sum =
Q7)
An arithmetic progression has a first term of
120
and a common difference of
15
Find the sum of the terms between
15
and
30
inclusive.
Sum =
Q8)
Term
9
of an Arithmetic Progression is
69
The sum of the first
100
terms of the same progression is
40100
Find the first term and the common difference.
a =
d =
Q9)
Term
12
of an Arithmetic Progression is
41
The sum of the first
50
terms of the same progression is
5425
Find the first term and the common difference.
a =
d =
Q10)
Term
25
of an Arithmetic Progression is
-209
The sum of the first
120
terms of the same progression is
-63420
Find the first term and the common difference.
a =
d =
Q11)
An AP has a first term of
4
and a common difference of
12
How many terms must be added together so that the sum exceeds
3,600
?
n =
Q12)
An AP has a first term of
-230
and a common difference of
4
How many terms must be added together so that the sum exceeds
900
?
n =
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