Question

Please help me with this Arithmetic Sequences and Series Question:

Answer 1

Answer:

The 37th term of arithmetic sequence is 182.

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 :

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

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

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

$\implies{\sf{a_{37} = 2 + 36 \times 5}}$

$\implies{\sf{a_{37} = 2 + 180}}$

$\implies{\sf{a_{37} = 182}}$

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

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

$\rule{300}{2.5}$