[4 marks sum]

Question 14 Marks

If the $p$th, $q$th and $r$th terms of an AP be $a, b$ and $c$ respectively, then prove that
$a(q-r)+b(r-p)+c(p-q)=0$.

Answer

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Question 24 Marks

How many terms of the AP $17,15,13$, $\ldots\ldots$ must be added to get the sum 72? Explain the double answer.

Answer

Self

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Question 34 Marks

If the first term of an AP is 2 and the sum of the first five terms is equal to one fourth of the sum of the next five terms, then.
(a) show that $t_{20}=112$
(b) find the sum of first 30 terms.

Answer

Self

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Question 44 Marks

The sum of first 16 terms of an AP is 112 and the sum of its next 14 terms is 518 . Find the AP .

Answer

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Question 54 Marks

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289 , find the sum of first $n$ terms.

Answer

Self

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Question 64 Marks

If $m$ times the $m$th term of an AP is equal to $n$ times the $n$th term show that $(m+n)$ th the term of the AP is 0 .

Answer

Self

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Question 74 Marks

Find the value of the middle most term(s) of the $AP -11,-7,-3$, $\ldots\ldots$ 49.

Answer

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Question 84 Marks

In an Arithmetic Progression (A.P.) the fourth and sixth terms are 8 and 14 respectively. Find the :
(a) first term
(b) common difference
(c) sum of the first 20 terms

Answer

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Mathematics [4 marks sum]

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