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In the following A.P. 's find the missin...

In the following A.P. 's find the missing terms in the boxes :
`2, square, 26`

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The correct Answer is:
To find the missing term in the arithmetic progression (A.P.) given as `2, square, 26`, we can follow these steps: ### Step 1: Understand the A.P. Property In an arithmetic progression, the middle term is the average of the two outer terms. If we denote the first term as \( a \), the missing term as \( b \), and the last term as \( c \), then the relationship can be expressed as: \[ b = \frac{a + c}{2} \] ### Step 2: Identify the Terms Here, we have: - \( a = 2 \) - \( b = \text{missing term} \) - \( c = 26 \) ### Step 3: Apply the A.P. Formula Using the formula from Step 1, we can substitute the known values: \[ b = \frac{2 + 26}{2} \] ### Step 4: Calculate the Missing Term Now, we perform the calculation: \[ b = \frac{28}{2} = 14 \] ### Step 5: Conclusion Thus, the missing term in the A.P. is \( 14 \). ### Final Answer The missing term is \( 14 \). ---
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OSWAL PUBLICATION-ARITHMETIC PROGRESSIONS -NCERT CORNER (EXERCISE-5.2)
  1. Choose the correct choice in the following and justify : 30^(th) ter...

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  2. Choose the correct choice in the following and justify : 11^(th) ter...

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  3. In the following A.P. 's find the missing terms in the boxes : 2, sq...

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  4. In the following A.P. 's find the missing terms in the boxes : squar...

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  5. In the following A.P. 's find the missing terms in the boxes : 5, sq...

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  6. In the following A.P. 's find the missing terms in the boxes : -4, s...

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  7. In the following A.P. 's find the missing terms in the boxes : squar...

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  8. Which term of the A.P.3,8,13,18,.....is 78 ?

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  9. Find the number of tterms in each of the following A.P.'s: 7,13,19,...

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  10. Find the number of tterms in each of the following A.P.'s: 18,15 (1...

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  11. Cheack whether -150 is a term of the A.P. 11, 8, 5, 2,……..

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  12. Find the 31st term of an A.P. whose 11 ^(th) term is 38 and the 16 ^(t...

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  13. An A.P. consists of 50 terms of which 3 ^(rd) term is 12 and the last ...

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  14. If the 3rd and the 9^(t h) terms of an AP are 4 and "\ "8 respectivel...

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  15. The 7^(th) term of an A.P. exceeds its 10^(th) term by 7. Find the com...

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  16. Which term of the AP : 3, 15, 27, 39, …. Will be 132 more than its 54^...

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  17. Two APs have the same common difference. The difference between their...

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  18. How many three digit numbers are divisible by 7?

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  19. How many multiples of 4 lie between 10 and 250?

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  20. For what value of n, are the with terms of two APs: 63, 65, 67, . . . ...

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