Question

Check whether 301 is a term of the list of numbers 5, 11, 17, 23, ..​

Answer 1

✒ Given that,

• AP = 5,11,17,23...
• To check 301 is a term of this AP.

✒ Let,

• a1 = 5
• a2 = 11

Common difference (d) = a2 - a1 = 11-5 = 6

✒ Now we have,

• a = 5
• d = 6
• an = 301

⟹ an = a + (n - 1)d

➡ 301 = 5 + (n - 1)(6)

➡ 301 = 5 + 6n - 6

➡ 301 = 6n - 1

➡ 6n = 301 + 1

➡ 6n = 302

➡ n = 302/6

➡ n = 50.3

Since, n is coming in decimals.

Hence, 301 is not a term of this AP.

Step-by-step explanation:

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Answer 2

Answer:

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