Page 15 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

Form
4 Additional Mathematics Chapter 5 Progressions

5.2

1. Determine whether the following sequence is 9. The 5th and 8th term of a geometric
a geometric progression or not. C1 1 3
progression are 337 and 42 respectively.
1
(a) 18, 27, 40 , … Find C2 2 16
2
(a) the first term and the common ratio,
1 13
(b) 125, 31 , 7 , … (b) the sum of the 7th and 8th term,
4 16
of the geometric progression.
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3
(c) 16, 2 , 9 , …
5 25 10. It is given that 3 and 243 are the 2nd term
3 and 6th term of a geometric progression
(d) –36, 12 , –4.41, … respectively. Find C2
5
(a) the first term and the common ratio,
2. Given that the sequence below is a geometric (b) the sum of the 2nd and 3rd term,
progression. Determine the value of common of the geometric progression.
ratio. C1
CHAP 11. Find the number of terms of the following
5 (a) –144, 72, –36, … geometric progression. C2
(b) –12, –30, –75, …
1
1 (a) 2, 3, 4 , …, 15 3
(c) 8, 1, , …
8 2 16
(d) 15, 3, 0.6, … (b) 120, 60, 30, …, 15
16
3. Given that 3h, 10h – 6 and 25h + 12 are the (c) 12k, 36k, …, 8 748k
1
3 terms in a geometric progression, find the (d) 3 , 2 , …, 57 681
possible values of h. C2 2 4 1 024
4. Find the possible values of k if 2k + 6, 8k – 8 12. It is given that 24, 18, 27 , … is a geometric
and 12k + 4 are the 3 terms of a geometric 2
progression. C2 progression. Determine which term in the
geometric progression is 3 417 . C2
2 048
5. It is given that 4p – 2, 6p + 3 and 12p + 18 are
the 3 terms of a geometric progression. Find 13. Which term in the geometric progression 4,
the value of p. C2 12, 36, … is 26 244? C2

6. Given that 32, 8 and 2 are the first 3 terms of 14. Determine the term in the geometric
a geometric progression. Find C2 progression 28, 7, 1 , … which is equal to
3
(a) the first term and the common ratio, 4
(b) the 8th term. 7 . C2
262 144
3 22
7. It is given that 2p, –21 and –38 are the 15. It is given that k, 18, 54 and h are the four
5 25 terms in a geometric progression. Find the
first 3 terms of a geometric progression. Find value of k and h. C2
C2
(a) the common ratio of the geometric
progression, 16. Given that 10, p, q, 80 are the first four terms
(b) the value of p, in a geometric progression, find the value of p
(c) the 15th term of the geometric and q. C2
progression.
17. Given that u, 15, v, w are the first four terms in
a geometric progression, express v in terms of
8. It is given that 448, –896 and 1 792 are the 6th,
7th and 8th term of a geometric progression. u and w. C3
Find C2
(a) the first term and the common ratio, 18. Given that 4, 10, 25, … is a geometric
(b) the 11th term, progression, what is the first term which its
of the geometric progression. value more than 1 000? C3

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