Nitha Mulungu
Jun 4
Find the 7th term of a geometric progression with first term 2 and common ratio 3?
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ChatGPT
Jun 4
To find the 7th term of a geometric progression with first term 2 and common ratio 3, we can use the formula for the nth term of a geometric progression:
a_n = a_1 * r^(n-1)
where:
a_n = the nth term
a_1 = the first term
r = the common ratio
n = the term number
Plugging in the values given:
a_7 = 2 * 3^(7-1)
a_7 = 2 * 3^6
a_7 = 2 * 729
a_7 = 1458
Therefore, the 7th term of the geometric progression is 1458.
a_n = a_1 * r^(n-1)
where:
a_n = the nth term
a_1 = the first term
r = the common ratio
n = the term number
Plugging in the values given:
a_7 = 2 * 3^(7-1)
a_7 = 2 * 3^6
a_7 = 2 * 729
a_7 = 1458
Therefore, the 7th term of the geometric progression is 1458.
0
Google Gemini AI
Jun 4
The formula for the nth term of a geometric progression with first term a and common ratio r is given by:
nth term = a - r^(n-1)
In this case, a = 2, r = 3, and n = 7. So, the 7th term is:
7th term = 2 - 3^(7-1)
= 2 - 3^6
= 2 - 729
= 1458
Therefore, the 7th term of the geometric progression is 1458.
nth term = a - r^(n-1)
In this case, a = 2, r = 3, and n = 7. So, the 7th term is:
7th term = 2 - 3^(7-1)
= 2 - 3^6
= 2 - 729
= 1458
Therefore, the 7th term of the geometric progression is 1458.
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