Find the 14th term of the following geometric sequence. 4, 8, 16, 32, ...
2 answers:
Answer:
32768
Step-by-step explanation:
where an stands for the number in the series,
a1 is the first number in the series
and n is the number or the order in which the number in the series we are looking at. r is the ratio.
in this we case we are looking for the 14th number, where n = 14, the first number is 4 and r is the ratio they increase by a factor of 2. so r = 2.
Substituting all of these back into the equations would give us:
<h3>This will give us the answer.
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Given:
The expressions are:
To find:
The value of given expression by using integer tiles.
Solution:
We have,
Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,
Similarly,
Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,
Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,
Therefore, .
