Question

Find the value of the term in the arithmetic sequence.

Answer 1

Formula to fimd the 9th term:-

$\tt a_{n} = a_{1} + (n - 1)d$

Where,

• $a_{n}$ is the Nth term
• $a_{1}$ is the first term of sequence
• $n$ is the term to be found
• $d$ is the common difference between terms

In our case,

• $a_{1} = - 2$
• $n = 9$
• $d = 3$

Put the values,

$\tt a_{9} = - 2 + (9 - 1) \times 3$

$\tt a_{9} = - 2 + 8 \times 3$

$\tt a_{9} = - 2 + 24$

$\tt a_{9} = 22$

Answer 2

$\dispalystyle a_1=-2 ~\\\\~ d=a_2-a_1=1-(-2)=3 \\\\ a_{9}=a_1+(9-1)d=-2+8d=-2+24=\boxed{22} \\\\\\ \huge\boxed{\mathfrak{Answer}:a_{9}=22}$