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adelina 88 [10]
4 years ago
12

Write an equation for the nth term of the arithmetic sequence. Then find a30.

Mathematics
1 answer:
givi [52]4 years ago
4 0

Answer:

Therefore the equation dor nth term is,

a_{n} =a_{1} + (n-1)\times d   and

a_{30} =-18

Step-by-step explanation:

Given:

Arithmetic Sequence as

11 , 10 , 9 , 8 , ..........

∴   First term     = a₁ = 11

   Second term = a₂ = 10

∴ Common Difference = d =  a₂ - a₁ = 10 - 11 = -1

∴ d = -1

To Find:

a_{n} = ?\\and\\a_{30} = ?

Solution:

An equation for the nth term of the arithmetic sequence is given by

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

Substitute n= 30 for a_{30} and a₁ and d we get

a_{30} =11 + (30-1)\times -1\\\\a_{30} =11+29\times -1\\\\a_{30} =11-29\\\\a_{30} =-18\\\\\therefore a_{30} =-18\ \textrm{as required}

Therefore,

a_{30} =-18

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