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Doss [256]
3 years ago
8

Find the 20th term from the last term of the AP:3,8,13,..., 253. ​

Mathematics
1 answer:
RoseWind [281]3 years ago
3 0

Answer:

158

Step-by-step explanation:

The sequence is 3, 8, 13, ..., 253.

Going backwards, it's 253, 248, 243, ..., 3.

First term is 253, common difference is -5.

The nth term is:

a = 253 − 5(n − 1)

The 20th term is:

a = 253 − 5(20 − 1)

a = 158

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Step-by-step explanation:

Here, the given data points,

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So, the table that represents the given situation is,

x         -3            -1             1             2             4

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By the above table,

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Let the equation of the line is,

y = bx + a

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By substituting the values we get,

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