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Solve the following system of inequalities graphically: x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0
Concept: undefined >> undefined
Find the 20th and nthterms of the G.P. `5/2, 5/4 , 5/8,...`
Concept: undefined >> undefined
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Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.
Concept: undefined >> undefined
The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q2 = ps.
Concept: undefined >> undefined
The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7thterm.
Concept: undefined >> undefined
Which term of the following sequence:
`2, 2sqrt2, 4,.... is 128`
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Which term of the following sequence:
`sqrt3, 3, 3sqrt3`, .... is 729?
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Which term of the following sequence:
`1/3, 1/9, 1/27`, ...., is `1/19683`?
Concept: undefined >> undefined
For what values of x, the numbers `-2/7, x, -7/2` are in G.P?
Concept: undefined >> undefined
Find the sum to 20 terms in the geometric progression 0.15, 0.015, 0.0015,…
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Find the sum to indicated number of terms of the geometric progressions `sqrt7, sqrt21,3sqrt7`...n terms.
Concept: undefined >> undefined
Find the sum to indicated number of terms in the geometric progressions 1, – a, a2, – a3, ... n terms (if a ≠ – 1).
Concept: undefined >> undefined
Find the sum to indicated number of terms in the geometric progressions x3, x5, x7, ... n terms (if x ≠ ± 1).
Concept: undefined >> undefined
Evaluate `sum_(k=1)^11 (2+3^k )`
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The sum of first three terms of a G.P. is `39/10` and their product is 1. Find the common ratio and the terms.
Concept: undefined >> undefined
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
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The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.
Concept: undefined >> undefined
Given a G.P. with a = 729 and 7th term 64, determine S7.
Concept: undefined >> undefined
Find a G.P. for which sum of the first two terms is –4 and the fifth term is 4 times the third term.
Concept: undefined >> undefined
If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.
Concept: undefined >> undefined
