Question

Find the 92nd term of the arithmetic sequence -29, -22, -15

Answer 1

Answer:

Step-by-step explanation:

An=a+[n-1]d

A92=-29+[92-1]7

A92=-29+637

A92=608

Answer 2

Answer:

92nd term = 608

Step-by-step explanation:

Question:

Find the 92nd term of the arithmetic sequence -29, -22, -15,...

★ Concept :-

Here, the concept of arithmetic progression is used. This question is based on the concept of finding nth term of an A.P

In this question, An A.P is given: -29, -22, -15,... where,

• The first term(a) = -29

$\;\boxed{\sf{\pink{d = a_2-a}}}$

where, d = Common difference

So, d = -22-(-29)

$\implies$ $\;\boxed{\frak{\pink{d = 7}}}$

nth term = 92(Given)

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★ Formula Used :-

$\;\boxed{\bf{\orange{a_n = a+(n-1)d}}}$

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Let's solve it!!

$\bf{a_n=a+(n-1)d}$

Apply the values:

$\implies\bf{a_{92}=\: -29 +(92-1) \times \: 7}$

$\implies\bf{a_{92}=\: -29 + 91 \times \: 7}$

$\implies\bf{a_{92}=\: -29 + 637}$

$\implies\bf{a_{92}=\: 608}$

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Final Answer:

92nd term = 608