Skip to main content
A

Anonymous

Jan 01, 2025

Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = -74. -20.5 -151 -22.75 -144

Identify the 27th term of an arithmetic sequence where the first term ( a_1 = 38 ) and the 17th term ( a_{17} = -74 ). The possible answers are: -20.5, -151, -22.75, and -144.

8 Answers

A
Anonymous

Dec 25, 2024

Arithmetic sequence:an=a1+(n-1)dd=-112/16=-7 D)-144
A
Anonymous

Jan 17, 2025

- 53Step-by-step explanation:For a sequence to be arithmetic sequence then there must be a common difference (d). Common difference is given by :d = - = - ...From the sequence given :a = -1d = -3 - (-1 ) d = -3 + 1d = -2The formula for nth term of an arithmetic sequence is given as : = a + ( n - 1 ) dwhere n is the number of terms , therefore, the 27th term will be = a + (27 - 1 ) dsubstituting the value of a and d , we have = - 1 + (26) x -2 = -1 -52 = -53Therefore , the 27th term = - 53
Step-by-step explanation:use arithmetic sequence to find the rule for nth term where 'a1' is the first term and d is the differencefirst term is 38 , solve for dSubtract 38 from both sides, divide both sides by 16Now we find 26 term using a1= 38 and d=-7
A
Anonymous

Jan 24, 2025

Hello : the general terme is : an = ap +(n-p)r   n, p in N and r in R let n=17 and p =1a17 = a1+(17-1)r-74 = 38 +16r16r =-112r = -7an = a1 +(n-1)ra27 =38+26(-7) =−144
A
Anonymous

Feb 16, 2025

In order to solve for a nth term in an arithmetic sequence, we use the formula written as:an = a1 + (n-1)dwhere an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.First, we need to calculate for d from the given values above.  a1 = 38 and a17 = -74an = a1 + (n-1)d-74 = 38 + (17-1)dd = -7The 27th term is calculated as follows:a27 = a1 + (n-1)da27= 38 + (27-1)(-7)a27 = -144 > OPTION D

Want to answer this question?

Join our community to share your knowledge!

Related Questions

3
Another expression for “it is raining” is “Está nublado.”

Question 1 (Yes/No Worth 1 point): Another expression for "it is raining" is "Está nublado." (Yes/No) Question 3 (Fill-i...

1
Guys help please!! Just 1 Algebra 2 question?

I need assistance with an Algebra 2 problem. The question states that the variable ( r ) varies directly with ( s ) and...

2
how is Frank Garza’s Jockey School?

I hope this message finds you well. I have a few questions regarding Frank Garza’s Jockey School. I want to clarify that...

8
I am in 12th……I hav my physics board exam tomorrow……how do I complete my full course in one day ?

I'm in 12th grade, and I have my physics board exam tomorrow. How can I effectively cover the entire course material in...

6
projectile motion homework?

A rescue pilot needs to drop a survival kit while flying at an altitude of 2,000.0 meters with a forward velocity of 100...

10
Preschool vs. Montessori?

Hi everyone, I’m trying to make a decision between enrolling my child in a preschool or a Montessori program. He’s curr...

3
what is the hybridization of phosphorus atom in PCl3?

What is the hybridization of the phosphorus atom in PCl3? Additionally, could you please provide an explanation of the s...

4
What should I wear for Home Depot orientation tomorrow?

I just got hired for a part-time sales job at Home Depot, and I have my orientation tomorrow. I've never had a job where...

7
Which view in a presentation program displays your slides in full-screen mode?

What view in a presentation program allows you to display your slides in full-screen mode?

2
why do african american kids score worse on the sat tests than whites or asians, regardless of their socioeconomic background?

What factors contribute to the observed differences in SAT scores among African American students compared to their Whit...