PROGRESSIONS

Class: X Weekend Test – PROGRESSIONS (EX 5-7) Maths


Section – I 5 x 2 = 10
ANSWER THE FOLLOWING:
1. Find sum to indicated terms:0. 15, 0.015,0.0015,……………..;8terms;20terms
2. The sum of the first 3 terms of a G.P.is13/12 and their product is –1.Find the G.P.
3. If g 1, g2, g3 are three geometric means between m and n. Show that
g 1, g3 = g22 = mn.
4. Find the rational number which has its expansion as 0.68
5. The common ratio of a G.P. is –4/5and sum to infinity is 80/9.Find the first term.
Section – II 5 x 3 = 15
ANSWER THE FOLLOWING:

1. If (b+c),(c+a),(a+b),(c+a) are in H.P. Show that 1/a2 ,1/b2,1/c2 will also be in H.P.
2. The A.M, G.M., H.M., of two numbers are A, G, H respectively. Show that A ≥ G ≥ H.
3. If x = 1 + a + a2 + a3 +…………to ∞and y = 1+ b +b2+b3+……..to ∞ .Show that 1+ab+a2b2+a3b3+…….to ∞ = xy
I) Differentiate between Newton’s corpuscular theory and Wave theory of light. (5M)
II) Describe a ripple tank with a neat diagram.(5M)