Question

1. The first term of an arithmetic sequence is 3 and the common difference is 2.What is its 10th term?

(29 , 21 , 23 , 32 )​

Answer 1

Answer:

• 21 is the required answer

Step-by-step explanation:

According to the Question

It is given that,

• First term ,a = 3
• Common difference ,d = 2
• nth term ,n = 10

we have to calculate the 10th term of the A.P .

So, by using formula we get

• aₙ = a + (n-1)d

where,

• aₙ denote nth term
• a denote first term
• n denote number of terms
• d denote common difference

by putting the value we get

➻ a₁₀ = 3 + (10-1)

➻ a₁₀ = 3 + (9)2

➻ a₁₀ = 3 + 18

➻ a₁₀ = 21

• Hence, the 10th term of the A.P is 21 .

Answer 2

⇝Given :-

• ➵ First term of arithmetic sequence is 3.
• ➵ Common difference is 2.

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⇝ To Find :-

• ➵ What is the 10th term.

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⇝ Solution :-

✬ Formula Used :

${\large{\pink{\bigstar \: \: \: {\blue{\underbrace{\underline{\red{\bf{a{\small_{n}} = a + (n - 1)d}}}}}}}}}$

✬ Here :

• ➥ an = 10th term = ?
• ➥ a = first term = 3
• ➥ n = no. of terms = 10
• ➥ d = common difference = 2

✬ Now 10th term :

${\large{\longmapsto{\bf{{a{\small_{n}} = a + (n - 1)d}}}}}$

${\large{\longmapsto{\bf{{a{\small_{n}} = 3+ (10- 1)2}}}}}$

${\large{\longmapsto{\bf{{a{\small_{n}} = 3+ 9 \times 2}}}}}$

${\large{\longmapsto{\bf{{a{\small_{n}} = 3+ 18}}}}}$

${\large{\purple{:{\longmapsto{\underline{\overline{\boxed{\bf{{a{\small_{n}} = 21}}}}}}}}}}$

✬ Hence :

${\large{\purple{\underline{\red{\underline{\pink{\mathfrak{\pmb{10th \: term = 21}}}}}}}}}$

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