36,347 views
17 votes
17 votes
Please help me with this Arithmetic Sequences and Series Question:

Identify the 37th term of the arithmetic sequence 2, 7, 12,…

Please show and explain all steps to get to the answer, thank you for your help and time.

User Read Read
by
2.8k points

1 Answer

6 votes
6 votes

Answer:

The 37th term of arithmetic sequence is 182.

Step-by-step Step-by-step explanation:

Here's the required formula to find the arithmetic sequence :


\longrightarrow\pmb{\sf{a_n = a_1 + (n - 1)d}}


  • \pink\star aₙ = nᵗʰ term in the sequence

  • \pink\star a₁ = first term in sequence

  • \pink\star n = number of terms

  • \pink\star d = common difference

Substituting all the given values in the formula to find the 37th term of arithmetic sequence :


\implies{\sf{a_n = a_1 + \Big(n - 1\Big)d}}


\implies{\sf{a_(37) = 2 + \Big(37 - 1\Big)5}}


\implies{\sf{a_(37) = 2 + \Big( \: 36 \: \Big)5}}


\implies{\sf{a_(37) = 2 + 36 * 5}}


\implies{\sf{a_(37) = 2 + 180}}


\implies{\sf{a_(37) = 182}}


{\star{\underline{\boxed{\sf{\red{a_(37) = 182}}}}}}

Hence, the 37th term of arithmetic sequence is 182.


\rule{300}{2.5}

User Raaste
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.