Q. For the given geometric progression find the first fractional term?

250, 247, 244,.........

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Q. State whether the given statement is true or false.

1, 1, 1, 1, 1........ is a GP series.

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Q. In the given Geometric progression, ‘2²⁵‘ would be a term in it.

32, 256, 2048, 16384,.........,2⁵⁰.

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Q. Which of the following sequeces in GP will have common ratio 3, where n is an Integer?

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Q. If a, b, c are in GP then relation between a, b, c can be ___________

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Q. Let the multiplication of the 3 consecutive terms in GP be 8 then midlle of those 3 terms would be _______

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Q. Let A₁, A₂, be two AM’s and G₁, G₂ be two GM’s between a and b,then (A₁ + A₂) / G₁G₂ is equal to _______

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Q. The series a,(a+b)/2, b is in _______

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Q. The series a, (ab)½, b is in _______

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Q. If A and G be the A.M and G.M between two positive number then the numbers are A + (A² – G²)½, A – (A² – G²)½.

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Q. If one geometric mean G and two airthmetic mean A₁, A₂ are inserted between two numbers, then (2A₁ – A₂) (2A₂ – A₁) is equal to _______

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Q. State whether the given statement is true or false.

AM ≤ GM.

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Q. If between two numbers which are root of given equation. x² – 18x + 16 = 0, a GM is inserted then the value of that GM is?

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Q. If a₁, a₂, a₃ are in airthemetic as well as geometric progression then which of the following is/are correct?

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Q. If a₁, a₂, a₃ are in GP then 1/a₁, 1/a₂, 1/a₃ are in ___________

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Q. If a₁, a₂, a₃…….. are in AP then if a₇ = 15, then the value of common difference that would make a₂ a₇ a₁₂ greatest is?

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Q. Let the sequence be 1×2, 3×2², 5×2³, 7×2⁴, 9×2⁵……… then this sequence is _________

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Q. Let the sequence be 1×2, 3×2², 5×2³, 7×2⁴, 9×2⁵……… then the next term of this AGP is given by _________

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Q. The sum of the first n natural numbers is given by _________

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Q. The sum of square of the first n natural numbers is given by _________

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