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lf a(n)={ {:(n^(2), "when n is odd"),(...

lf ` a_(n)={ {:(n^(2), "when n is odd"),(2n,"when n is even "):}`
then write down ten beginning from the fifth term .

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AI Generated Solution

To solve the problem, we need to find the sequence defined by the given conditions for the terms starting from the 5th term. The sequence is defined as follows: - \( a_n = n^2 \) when \( n \) is odd - \( a_n = 2n \) when \( n \) is even We need to calculate the terms from \( a_5 \) to \( a_{14} \) (which gives us 10 terms). ### Step-by-Step Solution: ...
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AAKASH INSTITUTE-SEQUENCES AND SERIES -Try Yourself
  1. Find the first five terms of the sequence whose general term is given ...

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  2. Find the first five terms of the sequence whose general term is given ...

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  3. lf a(n)={ {:(n^(2), "when n is odd"),(2n,"when n is even "):} th...

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  4. Show that for the sequence defined by a(n) = (n -1) (n-2) ,the first...

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  5. Find the first five terms of the following sequences and write down th...

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  6. Write the first five terms of the following sequences and obtain the ...

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  7. Is the sequence defined by a(n) = 3n^(2) + 2 an A.P. ?

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  8. Show that the sequence (p + q)^(2), (p^(2) + q^(2)), (p-q)^(2) … is a...

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  9. Determine the number of terms in the A.P. 3,4,5, …, 399 . Also find ...

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  10. Find the indiated terms in each of the following A.P. (i) 1, 7, 1...

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  11. The 11^(th) of an A.P. is 80 and the 16^(th) term is 110 . Find the...

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  12. In an A.P., the p^(th) term is 1/p and the q^(th) term is 1/p. fin...

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  13. The sum of three numbers in A.P. is 27 and the sum of their squares i...

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  14. 4. (a) Divide 20 into 4 parts which are in A.P. and such that. the pro...

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  15. If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" a...

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  16. If a ,b ,c are in A.P., prove that the following are also in A.P. 1/(b...

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  17. If a^2, b^2, c^2 are in A.P, show that: a/(b+c), b/(c+a), c/(a+b) are...

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  18. If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b...

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  19. If a,b,c are in A.P. prove that: a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are ...

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  20. If a^2(b+c), b^2(c+a),c^2(a+b) are in A.P., then prove that a,b,c are ...

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