SUMMATIVE TEST Part 1
Choose the letter that you think best answers the question. 1. What is the the next term term in the geometr geometric ic sequence sequence 324, 324, -10, 3!" 3!" #. 4 $. -4 C. -12 %. 12 6
2. &in' the common common 'i(eren 'i(erence ce in the arithmet arithmetic ic sequence sequence 1, 1
#.
3
$.
4
4
1
C.
4
10
, 2,
4
, 3, )
3
%.
2
2
3. Which Which set o* numbers numbers is an exam+l exam+le e o* a harmonic harmonic sequenc sequence" e" 6
#. 2
13
11
,1
15
9
,1
5
,1
19
1
1
$.
2
C.
23
2
, -1, 2, -4
% . 1,
3
5
,
3
2
,
1 9
1
,
1
,
27
81
2
,
7
4. What is is the sum sum o* all the the een integer integers s between between an' 2" 2" #. 14 144 $. 1!2 C. 10 %. 10 /. * three arithmetic means means are inserte' between between -1/ an' an' , n' the rst o* o* these geometric geometric means. #. 3 $. -3 C. -! %. - 15
!. * three three geometric geometric means means are are inserte' inserte' between between 120 an' an' geometric means. #. !0 $. 30
C . 1/
%. 1 1
. What is the next next term term o* the the harmonic harmonic sequence sequence -
1
#.
1
$.
3
4
, n' the thir' o* these
2
6
1
,-
2
1
,
1
C.
"
2
1
%.
5
6
. Which Which term term o* the arithmet arithmetic ic sequenc sequence e /, , 13, 1, 1, ) is 401" 401" th th #. te term C. 111 term th $. 100 te term %. 112th term 2 th
. What hat is is the the term o* the geometric sequence 10, 2, 2
#.
125
2
$.
625
5
2
,
2
C.
3125
25
, )" 2
%.
15 625 625
10.he rst term o* an arithmetic sequence is 2 while the 12 th term is 10/. What is the common 'i(erence o* the sequence" #. $. ! C. / %. 3 11.What is the next term in the &ibonacci sequence 1, 1, 2, 3, /, , 13, 21, 34, //, " #. 123 $. 123 C. 134 %. 144 12.&in' the sum o* the rst six terms o* the geometric sequence with rst term 40 an' 1
common ratio
2
.
315
#.
315
$.
4
315
C.
2
%. 31/
8
13.What is the tenth term o* a geometric sequence with 32 as the *ourth term an' 2 as the common ratio" #. 204 $. 20/ C. 1024 %. 1034 14.What is the sum o* all the multi+les o* 4 between 1/ an' 4" #. 224 $. 240 C. 2 %. 340 2
n −1
1/.What is the 10 th term o* the sequence whose nth term is an 19
#.
21
80
$.
99
C.
82
2
n +1
"
100
%.
101
102
1!.&in' the sum to innity o* 1, 0.2, 0.04, 0.00, ) #. 0.2 $. 1.!!!) C. 1.2/ %. 1./ 1
1.Which is the nth term o* the harmonic sequence
1
1
#.
2 n +2
$.
4
1
,
1
C.
4n
8
1
,
12
1
,
16
, )"
1
%.
2n
4 n −2
1.&in' p so that p , 3 p , p 3, ) *orm an arithmetic sequence. #. -2 $. 2 C. -3 %. 3 1.What is k so that k 5 3, k 2, k 3 *orm o* geometric sequence" 1
#. -
5
1
$.
5
13
C. -
4
13
%.
4
20.# culture o* bacteria 'oubles eery 2 hours. * there are /00 bacteria at the beginning, how many bacteria will there be a*ter 24 hours" #. 1 024 000 $. 2 04 000 C. 3 000 %. 4 14 000
21.# rocket rises 30 *eet a*ter 1 secon', / *eet a*ter 2 secon's, an' 140 *eet a*ter 3 secon's. * it continues to rise at this rate, how many *eet will it rise a*ter 1! secon's" #. 0 *t $. 30 *t C. // *t %. 10 *t 22.6amilo is the track an' el' re+resentatie o* the 7aginoo 8igh 9chool *or the :alarong :ambansa. 8e begins training by running / miles 'uring the rst week, !./ miles 'uring the secon' week, an' miles on the thir' week. #ssume this +attern continues, how *ar will he run on the tenth week" #. 1./ miles $. 20 miles C. 21./ miles %. 23 miles 23.# mine worker 'iscoers an ore sam+le containing /00 mg o* ra'ioactie material. t was 'iscoere' that the ra'ioactie material has a hal* li*e o* 1 'ay. #bout how much o* the ra'ioactie material will be +resent a*ter 'ays" #. 3. mg $. . mg C. 1/.! mg %. 31.2 mg 24.# snail is crawling straight u+ a wall. he rst hour it climbs 1! inches, the secon' hour it climbs 12 inches, an' each succee'ing hour, it climbs only three-*ourths the 'istance it climbe' the +reious hour. 8ow *ar 'oes the snail climb 'uring the seenth hour" 256
256
#.
729
$.
14 197
14 197
729
C.
256
%.
256
2/.#ling :uring;s 24 hour conenience store o+ene' months ago. he rst month she ma'e a +rot o* :h+ 3, 000.
ing :uring earn 'uring her th month o* business" #. :h+ 10, 4./424 C. :h+ 10, 2./424 $. :h+ 10, 3./424 %. :h+ 10, 1./424
