Show that each of the following sequences is an A.P. Also, find the co

1.	Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case. (i) 3,−1,−5,−9…… (ii) −1,14,32,114,…… (iii) √2,3√2,5√2,7√2,…… (iv) 9,7,5,3,……
Answer» Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case. (i) $3, - 1, - 5, - 9 \dots \dots$ (ii) $- 1, \frac{1}{4}, \frac{3}{2}, \frac{11}{4}, \dots \dots$ (iii) $\sqrt{2}, 3 \sqrt{2}, 5 \sqrt{2}, 7 \sqrt{2}, \dots \dots$ (iv) $9, 7, 5, 3, \dots \dots$

Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case. (i) 3,−1,−5,−9…… (ii) −1,14,32,114,…… (iii) √2,3√2,5√2,7√2,…… (iv) 9,7,5,3,……

Answer»

Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case.

(i) $3, - 1, - 5, - 9 \dots \dots$

(ii) $- 1, \frac{1}{4}, \frac{3}{2}, \frac{11}{4}, \dots \dots$

(iii) $\sqrt{2}, 3 \sqrt{2}, 5 \sqrt{2}, 7 \sqrt{2}, \dots \dots$

(iv) $9, 7, 5, 3, \dots \dots$