Question

If 313 is the nth term of the sequence 8, 13, 18. What is n equal to?

Answer 1

Step-by-step explanation:

Given:

• 313 is the nth term of the sequence 8, 13, 18.

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To Find:

• nth term of the sequence

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Solution:

AP series : 8,13,18...

Here,

• a = 8
• d = 13 - 8 = 5
• 
  `\rm a_(n)` = 313

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We know that,

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`\dashrightarrow \: \: \: {\underline{\boxed{\purple{\pmb{\mathfrak{a_(n) = a + (n - 1)d}}}}}} \\ \\`

`\dashrightarrow \rm \: \: \: 313 = 8 + (n -1) 5 \\ \\`

`\dashrightarrow \rm \: \: \: 313 - 8 = (n - 1)5 \\ \\`

`\dashrightarrow \rm \: \: \: 305 = (n - 1)5 \\ \\`

`\dashrightarrow \rm \: \: \: (305)/(5) = n - 1 \\ \\`

`\dashrightarrow \rm \: \: \: 61 = n - 1 \\ \\`

`\dashrightarrow \rm \: \: \: 61 + 1 = n \\ \\`

`\dashrightarrow \: \: \: {\underline{\boxed{\purple{\pmb{\mathfrak{62 = n}}}}}} \\ \\`

Hence,

• Value of n is 62