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
The first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22 is -2
Given:
second term:
a + d = 4
fifth term:
a + 4d = 22
where
a = first be term
d = common difference
a + d = 4 (1)
a + d = 4 (1)a + 4d = 22 (2)
subtract (1) from (2)
4d - d = 22 - 4
3d = 18
d = 18 / 3
d = 6
substitute into (1)
a + d = 4 (1)
a + 6 = 4
a = 4 - 6
a = -2
Therefore, the first term of the sequence is -2
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