What is the first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22?
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Question
What is the first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22?
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Answer: -2
Step-by-step explanation:
The information in the question can be used to form an equation which goes thus:
2nd term = a + d = 4 …… i
5th term = a + 4d = 22 ……. ii
From equation i
a = 4 – d …….. iii
Put equation iii into ii
a + 4d = 22
(4 – d) + 4d = 22
4 – d + 4d = 22
4 + 3d = 22
3d = 22 – 4
3d = 18
d = 18/3
d = 6
Commons difference is 6
Since a + d = 4
a + 6 = 4
a = 4 – 6
a = -2
The first term is -2