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?
Answer:true
Step-by-step explanation:
I believe the correct answer from the choices listed above is option B. A rectangle can be reflected across an axis of symmetry so that it carries onto itself twice. <span>Rectangles are geometric shapes with </span>two lines<span> of symmetry. One line of symmetry divides a rectangle in half horizontally, and the other line divides the shape in half vertically.</span>
Answer:
1. 4 categories are shown in the rows.
2. 2 categories are shown in the columns.
3. The number of 14 year olds that consider winter their favorite season is 12.
4. Total number of people polled is 82.
Step-by-step explanation:
The question is to test the ability of a student to group data using a frequency table accurately, and make appropriate deductions from it. Consider the attachment for the accurate table required to answer the given questions.
If the given information is grouped as required, thus the answers to the questions are:
i. 4 categories are shown in the rows.
ii. 2 categories are shown in the columns.
iii. The number of 14 year olds that considers winter their favorite season is 12.
iv. Total number of people polled is 82.
Make an assumption . ''to assume''
