RECALL
Determine the next two terms of the given sequence.
1) 9,11,13, 15, 17, ...
2) 7,2, -3,-8,-13, ...
3) 20, 24, 28, 32, 36, ...
4) -11, -7,-3,1,5, ...
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RECALL
Determine the next two terms of the given sequence.
1) 9,11,13, 15, 17, ...
2) 7,2, -3,-8,-13, ...
3) 20, 24, 28, 32, 36, ...
4) -11, -7,-3,1,5, ...
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Answer:
1. 19,21
2. -18,-23
3. 40,44
4.9,13
Answer:
Formula of arithmetic sequence/progression.
an = a1 + (n-1)d [read as : a sub n is equal to a sub 1 //hindi yan coefficient at variable okies?)
Where : an or n = the nth term you need to find
a1 = the first term in the sequence
d = the common difference between the terms
1) a6= 9+ (6 - 1) 2
a6 = 9 + (5)2
a6 = 9 +10
a6 = 19
--
a7 = 9 + (7-1)2
= 9+(6)2
= 9+12
a7= 21
2) a6 = 7 + (6-1)(-5)
a6 = 7 +(5)(-5)
a6 = 7 - 25
a6 = - 18
--
a7 = 7 + (7-1)(-5)
= 7+(6)(-5)
= 7-30
a7 = - 23
3) a6= 20 + (6-1)4
= 20+(5)4
= 20+20
a6 = 40
--
a7 = 20 + (7-1)4
= 20 + (6)4
= 20 + 24
a7 = 44
4) a6 = -11 + (6-1)4
= -11 + (5)4
= -11 + 20
a6 = 9
--
a7 = -11 + (7-1)4
= -11 + (6)4
= -11 + 24
a7 = 13