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If `theta_1,theta_2,theta_3, ,theta_n` are in AP, whose common difference is `d` , show that `sectheta_1s e ctheta_2+s e ctheta_2sectheta_3++sectheta_(n-1)sectheta_n=(t a ntheta_n-t a ntheta_1//)/(sind)`

A

`sec theta _(n) - sec theta _(1)`

B

`sin theta_(n) - sin theta_(1)`

C

`cos theta _(n) - cos theta_(1)`

D

` tan theta _(n) - tan_(1)`

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AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Assignment (SECTION - B) One option is correct
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  2. The maximum sum of the series 100 + 98 + 96 + … is

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  3. If theta1,theta2,theta3, ,thetan are in AP, whose common difference i...

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  4. Consider that 10 arithmetic means are inserted between 3 and 7 and ...

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  5. Let tr denote the r^(th) term of an A.P. Also suppose tm=1/n and tn=1...

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  6. The sum of the first 100 terms common to the series 17, 21, 25, 29...

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  7. If the sixth term of a GP be 2, then the product of first eleven te...

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  8. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

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  9. The series . (2x)/(x + 3) + ((2x)/(x + 3))^(2) + ((2x)/(x + 3))^(3) +...

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  10. Four geometric mens are inserted between the number 2^(11) - 1 an...

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  11. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

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  12. If one G.M., G and two A.M's p and q be inserted between two given num...

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  13. about to only mathematics

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  14. Let a, b be the roots of the equation x^(2) - 4 x +k(1) = 0 and c ...

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  15. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

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  16. Sum of the series 1+2.2+3.2^2 +4.2^3+.....+100.2^99 is

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  17. If 3+1/4(3+p)+1/(4^2)(3+2p)+... + oo=8, then p

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  18. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

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  19. Let S denotes the infinite sum 2 + 5x + 9x^(2) + 14x^(3) + 2x^(4) ...

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  20. The value of x + y + z is 15 if a, x, y, z, b are in A.P. while t...

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