Answer:
a = 2/3
Explanation:
Question:
Here are the first four terms of a sequence.
4a , 9a , 14a , 19a
The nth term of the sequence is (10n - 2)/3
Work out the value of a.
Solution:
For n = 1,
the first term is: [10(1) - 2]/3 = 8/3
The first term is 4a
4a = 8/3
a = 2/3
Let's confirm the answer by trying the second term.
For n = 2,
the second term is: [10(2) - 2]/3 = 18/3 = 6
The second term is 9a
9a = 6
a = 6/9 = 2/3
Answer: a = 2/3