Find four numbers in A .P. whose sum is 20 and the sum of whose squares is 180.
Solution not provided. Ans. –1,3,7, 11
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Find the sum of the series 5 + 7 + 9+ 10 + 13 + 13 + 17 + 16 +.........to 40 terms.
The ratio of the sums of and ‘n’ terms of an A .P. is m2 : n2. Show that the ratio of the mth and nth terms is (2m – 1) : (2n – 1).
In which of the following situations, does the list of numbers involved make an arithmetic progression, and why? The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km.
In which of the following situational, does the list of numbers involved make an arithmetic progression, and why? The cost of digging a well for the first metre is Rs. 150 and rises by Rs. 50 for each succeeding metre.
