0
What is the 7th term of the geometric sequence where a1 equals 1024 and a4 equals -16?
Given:
a1=1024
a4=-16
Find: a7
Formula:
an=a1rn-1
To get the ratio, r:
a4=a1r4-1
-16=1024r4-1
-16=1024r3
-16/1024=1024/1024r3
-1/64=r3
-1/4=r
Substiture r=1/4 to the formula to get a7
a7=a1r7-1
=a1r6
=1024(-1/4)6
=1024(1/4096)
=1/4
=0.25
Therefore the 7th term=0.25
FromC2H5.OH:
The fourth term is the geometric mean of the first and seventh terms and is therefore the square root of their product;
this means that -16 squared = 1024 x a7
ie a7 = 256/1024 = 0.25
What else can I help you with?
Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
What does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
What is the 12th term of a geometric sequence in which the common ratio is 2 and the first term is 12?
36
What is the sixth term of a geometric sequence when the first term is 1 and the common ratio is -4?
-1,024
If a geometric sequence has a common ratio of 4 and if each term of the sequence is multiplied by 3what is the common ratio of the resulting sequence?
the answer is 4
Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
In the geometric sequence 4,12,36,....which term is 8748?
2946
When In a geometric sequence the term an plus 1 can be smaller than the term a?
Yes, it can.
What is the next term in the geometric sequence 4-1236?
1240
How do you determine if a sequence is geometric?
A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio). 2,4,8,16, --> here the common ratio is 2.
What does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
What would the seventh term be in a geometric sequence with a3 equals 125 and r equals 5?
You have the 3rd term and you want to go out four more so multiply by 5 this many times: 125*5^4 = 78125
What is the seventh term in this sequence 1024 256 64.?
Each number in the sequence is the previous number divided by 4. Therefore the 7th term starting from 1024 is 0.25. The first 8 terms are: 1024, 256, 64, 16, 4, 1, 0.25 and 0.0625.
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 300,30,3?
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.
What is the difference between an arithmetic sequence and a geometric sequence?
In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.
Which term describes a function in which the values form a geometric sequence?
1
Find the 10th term of the geometric sequence 10,-20,40…?
-5,120
