andrewantonov07
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

NEED ASAP WILL GIVE ANYTHING
an arithmetic sequence has a 10th term of 15 and 14th term of 35

show the equation (y=mx+b) of this graph equals an = -30+(n-1)5​

Sagot :

kimcpi

Answer:

an=5n−35

Step-by-step explanation:

The question says to show the equation in (y=mx+b) form.

So, we convert -30+(n-1)5​ into (y=mx+b) form.

we get rid of the parenthesis by multiplying 5 with (n-1)

n×5 = 5n

-1×5=-5

So we are left with -30+5n-5

We solve for like terms, -30-5

so we are left with 5n-35.

an=5n-35

Now we double check if this equation is valid, the question states that the 10th term is 15 and the 14th term is 35. We plug both in, replace of n

10th term is 15

an = 5(10)-35

an = 50-35

an=15 ✔ (that checks out)

14th term is 35

an = 5(14)-35

an = 70-35

an=35 ✔ (that also checks out)

THEREFORE, the equation in (y=mx+b) form would be

an=5n−35

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given an AP with:

  • a₁₀ = 15
  • a₁₄ = 35

General form for nth term:

  • aₙ = a₁ + (n - 1)d

Apply this to the given terms:

  • a₁ + 9d = 15
  • a₁ + 13d = 35

Solve the system above by elimination, subtract the equations:

  • 13d - 9d = 35 - 15
  • 4d = 20
  • d = 5

Find the first term:

  • a₁ + 9*5 = 15
  • a₁ = 15 - 45
  • a₁ = - 30

Now, substitute the values of the first term and common difference into general equation:

  • aₙ = a₁ + (n - 1)d
  • aₙ = - 30 + (n - 1)*5
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.