We can use the formula for the nth term of an exponential sequence:
a_n = a_1 * r^(n-1)
where a_n is the nth term, a_1 is the first term, r is the common ratio, and n is the term number.
We are given that the 4th term is 108 and the common ratio is 3. So we can use these values to find the first term:
a_4 = a_1 * 3^(4-1)
108 = a_1 * 3^3
a_1 = 4
Now we can use this value of a_1 and the common ratio to find the eighth term:
a_8 = a_1 * 3^(8-1)
a_8 = 4 * 3^7
a_8 = 4 * 2187
a_8 = 8748
Therefore, the value of the eighth term of the sequence is 8748.
The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence.
2 answers
Term n = a r^(n-1)
they tell us r = 3
Term n = a * 3^(n-1)
Term 4 = a * 3^3 = 27 a = 108
so
a = 4
so in general
Tn = 4 * 3 ^(n-1)
T8 = 4 * 3^7 = 4 * 2187 = 8748
Wow -- I agree with the bot !!!!
they tell us r = 3
Term n = a * 3^(n-1)
Term 4 = a * 3^3 = 27 a = 108
so
a = 4
so in general
Tn = 4 * 3 ^(n-1)
T8 = 4 * 3^7 = 4 * 2187 = 8748
Wow -- I agree with the bot !!!!