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81.

Find a₃₀ – a₂₀ for the A .P.

(i) –9, –14, –19, –24........... •

(ii) a, a + d, a + 2d, a + 3d,.........

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82. Determine the general term of an A .P. whose 5th term is 6 and 7th term is 12.

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83. The seventh term of an A .P. is 20 and 3rd term of an A .P. be 8. Find 32nd term and the general term.

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84. The sum of three numbers in A .P. is -3 and the product is 35. Find the numbers.

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85. The sum of three consecutive terms in an A .P. is 18 and their product is 192. Find the numbers.

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86. The sum of 4th and 8th term of an A .P. is 70 and the sum of 6th and 10th term is 94, find the first term.

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87.

The first term of an A .P. is 5 and its 100th term is –292. Find the 50th term of this A .P.

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88. The sum of the first n terms of an A .P. is 3n² + 2n. Find the nth term.

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89. The nth term (a_n) of an A .P. is given by a_n = 4n – 5. Find the sum of first 25 terms of the A .P.

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90. Find the sum of n terms of the sequence (a_n)where a_n = 5 – 6n.

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