The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.
<h3>What is the nth term of an arithmetic sequence?</h3>
The general form of the nth term of an arithmetic sequence is
an = a1 + (n - 1)d
Where,
a1 - first term
n - number of terms in the sequence
d - the common difference
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
First term a1 = 
= 3/2
Last term an = 
= 5/2
Common difference d = 1/9
From the general formula,
an = a1 + (n - 1)d
On substituting,
5/2 = 3/2 + (n - 1)1/9
⇒ (n - 1)1/9 = 5/2 - 3/2
⇒ (n - 1)1/9 = 1
⇒ n - 1 = 9
⇒ n = 9 + 1
∴ n = 10
Thus, there are 10 terms in the given arithmetic sequence.
learn more about the arithmetic sequence here:
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Disclaimer: The given question in the portal is incorrect. Here is the correct question.
Question: If the first and the last term of an arithmetic progression with a common difference are , and 1/9 respectively, how many terms has the sequence?
Below is the proof why the area of a parallelogram is B times H
<h3>How to form a rectangle from the parallelogram</h3>
The following steps would create a rectangle from the parallelogram
- Step 1: Cut out the triangular part of the parallelogram
- Step 2: Attach the triangular part to the other end of the parallelogram
See attachment for the steps.
When the rectangle has been created, we have the following dimensions:
Length = h
Width = B
The area of a rectangle is:
Area = Length * Width
This gives
Area = h * B
Evaluate
Area = Bh
Hence, the area of a parallelogram is B times H
Read more about parallelograms at:
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Answer:
The percent error in the meteorologist's forecast for Monday is 5.26316 %
Step-by-step explanation:
Answer:
is the sum 78 or 7,878 (i.e. was there a stutter)?
In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.
Set that to either 78 or 7878, whichever is intended, & solve for n. If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.
No stress! Just logic! Keep the faith!
Step-by-step explanation:
Numerical expression:
2 * 8 - 4 or 12
Good luck :)
