Question

Find the 93rd term of the arithmetic sequence -11, -7, -3, ...−11,−7,−3,...

Answer 1

Answer:

357

Step-by-step explanation:

Arithmetic sequence is a sequence where the successive terms have a common difference for example

1,2,3,4,5..... is a arithmetic sequence because they have a common difference of one..

Use the arithmetic sequence formula for nth terms.

$a_{1} + (n - 1)d$

Where en is the nth term you trying to find, a1 is the first term of the series and d is the common difference.

a1 is 11, n is 93 and d is 4 so we get

$- 11 + (93 - 1)4$

$- 11 + (92)4$

$- 11 + 368$

$= 357$

Answer 2

Answer:

The 93rd term of arithmetic sequence is 375.

Step-by-step explanation:

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

$\star\underline{\boxed{\tt{\purple{a_n = a_1 + \Big(n - 1\Big)d}}}}$

• $\blue\star$ aₙ = nᵗʰ term
• $\blue\star$ a₁ = first term
• $\blue\star$ n = number of terms
• $\blue\star$ d = common difference

Substituting all the given values in the formula to find the 93rd term of arithmetic sequence :

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

$\implies{\sf{a_{93} = - 11 + \Big(93 - 1\Big)4}}$

$\implies{\sf{a_{93} = - 11 + \Big( \: 92 \: \Big)4}}$

$\implies{\sf{a_{93} = - 11 + 92 \times 4}}$

$\implies{\sf{a_{93} = - 11 + 368}}$

$\implies{\sf{a_{93} = 357}}$

$\star{\underline{\boxed{\sf{\red{a_{93} = 357}}}}}$

Hence, the 93rd term of arithmetic sequence is 375.

$\rule{300}{2.5}$