The 76th term is 86.
<h3>What is sequence?</h3>
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
Given:
2, 3, 5, 6, 7, 10, …
The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.
We can as well sum the number of squares and cubes in the range with the number of the required term i.e
Number of squares = 8 ( 4,9,16,25,36,49,64,81)
Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)
Required term = 75
So, 8+2+75 = 85.
Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.
Learn more about sequence here:
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Answer:
Step-by-step explanation:
This is a compound interest formula expressed as:
Where:
is time in years
is the rate of interest
is the accumulated amount after n years
is the initial amount.
#We substitute the given values to determine amount after n years as follows:
Hence, the amount earned after n years is given by the expression
Answer:
2nd one
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x = the age of the youngest child
Let x + 1 = the age of the middle child
Let x + 2 = the age of the oldest child
x + x + 1 + x + 2 = 39
3x + 3 = 39
3x = 36
x = 12 years
