Question

Which term of the AP 5, 12, 19, 26, 33, ...... will be 35 more than its 12" term?
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Answer 1

Answer:

hope that this may helps u

Answer 2

Answer:

• 17th term

Step-by-step explanation:

Given

• 5 , 12 , 19 , 26 , 33

To find

• Which term of the AP will be 35 more than its 12th term.

Solution

Here:

• a = 5
• d = (12 -5)
• d = 7

Where:

• a = first term
• d = common difference

Then:

• T₁₂ = a + (12 - 1)d = (5 + 11 × 7) = 5 + 77 = 82

Required term:

• 82 + 35
• 117

Let the nth term be 117. Then:

• Tₙ = 117
• a + (n - 1)d = 117
• 5 + (n - 1)d = 117
• (n - 1)7 = 112
• (n - 1) = ¹¹²⁄₇
• (n - 1) = 16
• n = 16 + 1
• n = 17

Hence, the 17th term is the required term.