write three terms of g.p when the firsy term a and the common term r a=√5 r=1/5
Answers
Answer:
An earthquake hazard zonation map of Sikkim Himalaya is prepared using eight thematic layers namely Geology (GE), Soil Site Class (SO), Slope (SL), Landslide (LS), Rock Outcrop (RO), Frequency–Wavenumber (F–K) simulated Peak Ground Acceleration (PGA), Predominant Frequency (PF), and Site Response (SR) at predominant frequencies using Geographic Information System (GIS).
Answer:
standard form of a GP is given as..
a , ar , ar² , ar³ , ar⁴ , ........ arⁿ, where a is first term and r is common ratio.
here, ar = 2nd term of the GP
ar² = 3rd term of the GP.
(1) a = 4, r = 3
so, first term = a = 4
2nd term = ar = 4 × 3 = 12
3rd term = ar² = 4 × 3² = 36
(2) a = √5, r = 1/5
first term = a = √5
2nd term = ar = √5 × 1/5 = 1/√5
3rd term = ar² = √5 × 1/5² = 1/5√5
(3) a = 81 , r = -1/3
first term = a = 81
2nd term = ar = 81 × -1/3 = -27
3rd term = ar² = 81 × (-1/3)² = 9
(4) a = 1/64 , r = 2
first term = a = 1/64
2nd term = ar = 1/64 × 2 = 1/32
3rd term = ar² = 1/64 × (2)² = 1/16