Q) February 14 is celebrated as International Book Giving Day and many countries in the world celebrate this day. Some people in India also started celebrating this day and donated the following number of books of various subjects to a public library : History = 96, Science = 240, Mathematics = 336. These books have to […]

# arithmatic progression

Q) Which of the following are APs? If they form an AP, find the common difference d and write three more terms. (viii) – 1/2, – 1/2, – 1/2, – 1/2, … Ans: Here we are given a sequence and we need to determine if the sequence qualifies to be an AP or not. After

Q) Which of the following are APs? If they form an AP, find the common difference d and write three more terms. (vi) 0.2, 0.22, 0.222, 0.2222, … Ans: Here we are given a sequence and we need to determine if the sequence qualifies to be an AP or not. After that, we need to

Q) Which of the following are APs? If they form an AP, find the common difference d and write three more terms. v) 3, 3 + √2, 3 + 2√2, 3 + 3√2, … Ans: Here we are given a sequence and we need to determine if the sequence qualifies to be an AP or

Q) Which of the following are APs? If they form an AP, find the common difference d and write three more terms. iii) – 1.2, – 3.2, – 5.2, – 7.2, … Ans: Here we are given a sequence and we need to determine if the sequence qualifies to be an AP or not. After

Q) Which of the following are APs? If they form an AP, find the common difference d and write three more terms. (ii) 2, 5/2 ,3, 7/2, … Ans: Here we are given a sequence and we need to determine if the sequence qualifies to be an AP or not. After that, we need to

Q) For the following APs, write the first term and the common difference: (iv) 0.6, 1.7, 2.8, 3.9,… Ans: Here we are given AP and we need to find the first term a and common difference d. Now, first term of the AP, a1 = 0.6 (by observation) Further we can see that a2 = 1.7

Q) For the following APs, write the first term and the common difference: (iii) ,…. Ans: Here we are given AP and we need to find the first term a and common difference d. Now, first term of the AP, (by observation) Further we can see that and Common difference is the difference between

Q) For the following APs, write the first term and the common difference: (ii) – 5, – 1, 3, 7…. Ans: Here we are given AP and we need to find the first term a and common difference d. Now, first term of the AP, a1 = – 5 (by observation) Further we can see

Q) Write first four terms of the A.P. when the first term a and the common difference d are given as follows (v) a = – 1.25, d = – 0.25 Ans: Since we need to form AP consisting of first 4 terms, let’s start from formula for nth term. The nth term of an