Question

find the indicated terms in each of the following arithmetic progression--

1. 1,6,11,16,.........; t16
2. a= 3,d= 2; tn,t10

Answer 1

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YOUR ANSWER IS
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$we \: know \: that \: = > \\ \\ in \: ap \: tn \: term \\ \\ = > t _{n} = a + (n - 1)d$

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Now,

{1}

$given \: ap \: = > 1 + 6 + 11...........t _{16}$

here,

{( a = 1 ),( d = 6-1 =5 ), (n = 16) }

$= > t _{16} = 1 + (16 - 1) \times 5 \\ \\ = > t _{16} = 1 + 75 \\ \\ = > t _{16} = 76 \: \: \: \: ............answer$

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{2}

here

{(a=3), (d=2), (n=10)

$= > t _{10} = 3 + (10 - 1) \times 2 \\ \\ = > t _{10} = 3 + 18 \\ \\ = > t _{10} = 21 \: \: \: \: .........answer$



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