Answer:
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Maths
Algebra
Question
Is 435 a term in the sequence 3, 11, 19, ...? If so, which term is it? If not, justify why not.
Solutions
Verified
Solution A
Solution B
Step 1
1 of 2
The terms start at 3 (
�
=
1
n=1)and increases by 8 every next term:
�
(
�
)
=
3
+
8
(
�
−
1
)
=
3
+
8
�
−
8
=
−
5
+
8
�
t(n)=3+8(n−1)=3+8n−8=−5+8n
Replace
�
(
�
)
t(n) with 435:
435
=
−
5
+
8
�
435=−5+8n
Add 5 to both sides of the equation:
440
=
8
�
440=8n
Divide both sides of the equation by 8:
55
=
�
55=n
Thus 435 is the 55th term of the sequence.
solution b
First term is: 3
Common difference is: 8
Check the term 435,
if n is integer it will be a term of the series
435 = 3 + 8
×
× (n - 1)
n = 55
So,
435 is the
5
5
th
55
th
term of this series
ans Yes, the
5
5
th
55
th
term