Test: Arithmetic and Geometric Series - Ambitious

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Question 1:   Specify the formula for the arithmetic progression
a n = a 1 +d×(n1)
a n =2× a 1 +d×(n1)
a n = a 1 +n
a n = a 1 +d×n
Question 2:   Find the twenty-first arithmetic term of the following arithmetic series   1,1.5,2,...
11
10
12
10.5
Question 3:   Find the common ratio of geometric progression if the first element is   2  ,  and the fifth   1250 .
5
25
10
2
Question 4:   Find the sum of the first hundred members of the arithmetic progression if the first element is   3   and the difference is   5 .
50100
25000
25050
25005
Question 5:   In geometric progression we have:   b 1 =2 ,   q=0.5 .  Calculate the sum of the first 3 members of the progression.
4
3.75
2.5
3.5
Question 6:   Find the fifth term of geometric progression   2,4,8,...
28
32
64
16
Question 7:   In arithmetic progression   a 7 =10 ,   a 11 =16   calculate the progression difference.
3
1.4
1.5
2
Question 8:   In arithmetic progression   a 10 + a 16 =16 ,  calculate   a 13 .
8
10
4
6
Question 9:   In geometric progression   b 10 =3 ,  find   b 8 × b 12
15
27
6
9
Question 10:   Calculate the sum of the first twenty natural even numbers.
400
420
422
416