Question

the arithmetic sequence with first term 9 and common different 8. what is the 18th term of this sequence​

Answer 1

Answer :-

The 18th term of the sequence is 145.

Step-by-step Explanation

To Find :-

• The 18th term of the Arithmetic sequence.

★ Solution :-

Given that,

The first term of the arithmetic sequence = 9

Common difference = 8

We know,

tₙ = a + (n - 1) d

Where,

ө tₙ = nth term

ө a = first term

ө n = number of terms

ө d = common difference.

Therefore,

→ t₁₈ = a + (n - 1) d

→ t₁₈ = 9 + (18 - 1) 8

→ t₁₈ = 9 + (17) 8

→ t₁₈ = 9 + 136

→ t₁₈ = 145

Hence, The 18th term is 145.

Formula used :-

• tₙ = a + (n - 1) d

Answer 2

Question :-

the arithmetic sequence with first term 9 and common different 8. what is the 18th term of this sequence.

Solution :-

Given :-

• First term (a) = 9
• Common difference (d) = 8

Need to find :-

• 18th term

Required Formula :-

${\bigstar \: {\red{\boxed{\rm{S_{n} = a + (n-1) d}}}}}$

On using the formula we get,

$\sf:\longmapsto{S_{18} =9 + (18 - 1)8 } \\ \\ \sf:\longmapsto{S_{18} =9 + (17)8 } \: \: \: \: \: \: \: \\ \\ \sf:\longmapsto{S_{18} =9 + 136 } \: \: \: \: \: \: \: \: \: \\ \\ \sf:\longmapsto \boxed{ \sf{{S_{18} = 145}}} \: \: \: \: \: \: \: \: \: \: \: \:$

The 18th term is 145.

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1. First term and common difference of an arithmetic sequence is 8 and respectively write the arithmetic sequence and what is the 13 term in this sequence?

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