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In an AP, the seventh term is xxx and the (x+7)th(x + 7)^{th}(x+7)th term is zero (0). Then xthx^{th}xth term is"
Possible options: A) 6 B) 7 C) 8 D) 9?
Possible options: A) 6 B) 7 C) 8 D) 9?
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In an AP, the seventh term is xxx and the (x+7)th(x + 7)^{th}(x+7)th t...
Given Information:
- 7th term = xxx
- (x+7)th term = 0
To find:
- xth term
Solution:
Step 1: Finding the common difference (d)
- Let the common difference be d
- Given that the 7th term = xxx
- So, the 7th term = a + 6d (where a is the first term)
- xxx = a + 6d
Step 2: Finding the first term (a)
- Given that the (x+7)th term = 0
- So, the (x+7)th term = a + (x+6)d = 0
- a + (x+6)d = 0
Step 3: Substituting values to find xth term
- Substitute xxx = a + 6d from Step 1 into a + (x+6)d = 0
- xxx = (xxx - 6d) + (x + 6)d = 0
- xxx = xxx + xd - 6d + 6d
- xxx = xxx + xd
- xd = 0
- x = 0
Conclusion:
- The xth term is 0, which implies that the answer is option B) 7.
- 7th term = xxx
- (x+7)th term = 0
To find:
- xth term
Solution:
Step 1: Finding the common difference (d)
- Let the common difference be d
- Given that the 7th term = xxx
- So, the 7th term = a + 6d (where a is the first term)
- xxx = a + 6d
Step 2: Finding the first term (a)
- Given that the (x+7)th term = 0
- So, the (x+7)th term = a + (x+6)d = 0
- a + (x+6)d = 0
Step 3: Substituting values to find xth term
- Substitute xxx = a + 6d from Step 1 into a + (x+6)d = 0
- xxx = (xxx - 6d) + (x + 6)d = 0
- xxx = xxx + xd - 6d + 6d
- xxx = xxx + xd
- xd = 0
- x = 0
Conclusion:
- The xth term is 0, which implies that the answer is option B) 7.
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In an AP, the seventh term is xxx and the (x+7)th(x + 7)^{th}(x+7)th term is zero (0). Then xthx^{th}xth term is"Possible options: A) 6 B) 7 C) 8 D) 9?
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