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Mathematics
UTME / JAMB 2025
Progressions (AP & GP)
Solution
Given the progression 3, 5, 7, 9,.... . . . find an expression for the (n - 2)\(^{th}\) term of the progression.
A
\(2n - 1\)
B
\(2n + 1\)
C
\(2n + 3\)
D
\(2n - 3\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2024
Progressions (AP & GP)
Solution
The sum to infinity of a GP is 100, find its first term if the common ratio is -\(\frac{1}{2}\)
A
150
B
155
C
160
D
165
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2024
Progressions (AP & GP)
Solution
Find the 7\(^{th}\) term of the sequence -10, 50, -250 ...........
A
165250
B
156250
C
-156250
D
-165,250
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Progressions (AP & GP)
Solution
What is the general term of the sequence 3, 8, 13, 18, ...?
A
5n - 2
B
5n + 2
C
5
D
5n
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Progressions (AP & GP)
Solution
The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms
A
201
B
144
C
198
D
72
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2023
Progressions (AP & GP)
Solution
The second term of a geometric series is \(^{-2}/_3\) and its sum to infinity is \(^3/_2\). Find its common ratio.
A
\(^{-1}/_3\)
B
2
C
\(^{4}/_3\)
D
\(^{2}/_9\)
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2022
Progressions (AP & GP)
Solution
The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?
A
35/3
B
64
C
16
D
35/2
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2022
Progressions (AP & GP)
Solution
If 8, p, q and 26 is an A.P. Find the values of p and q
A
p = 14 and q = 14
B
p = 20 and q = 14
C
p = 20 and q = 20
D
p = 14 and q = 20
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Progressions (AP & GP)
Solution
Find the 17term of the Arithmetic Progression (A.P):-6,-1,4
A
-91
B
-86
C
74
D
79
medium Difficulty
Study Solution
Mathematics
UTME / JAMB 2021
Progressions (AP & GP)
Solution
What is the n-th term of the sequence 2, 6, 12, 20...?
A
4n - 2
B
2(3n - 1)
C
n2 + n
D
n2 + 3n + 2
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2021
Progressions (AP & GP)
Solution
Find the 5th term of the sequence 2,5,10,17....?
A
22
B
24
C
36
D
26
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2000
Progressions (AP & GP)
Solution
(a) The first term of an Arithmetic Progression (A.P) is 8. The ratio of the 7th term to the 9th term is 5 : 8. Calculate the common difference of the progression.
(b) A sphere of radius 2 cm is of mass 11.2g. Find (i) the volume of the sphere ; (ii) the density of the sphere ; (iii) the mass of a sphere of the same material but with radius 3cm. [Take \(\pi = \frac{22}{7}\)].
medium Difficulty
Study Solution