CD Tesis

KARAKTERISTIK NILAI R PADA PERSAMAAN 11x ≡ R (Mod 100) DAN 111x ≡ R (Mod 1000)

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This thesis discusses some of the r characteristic that satisfy the equation
11x ≡ r (mod 100) and 111x ≡ r (mod 1000), where r € Ɲ and positive
integer x ≥ 0. In general the r value obtained is x as tens and the units is
1. In the equation 11x ≡ r (mod 100) and 111x ≡ r (mod 1000), for x = 10m
the value r = 1 and for the value x = 10m + 1 obtained value r = 11. The
value obtained from the equation uses the concept of congruence and the
divisor algorithm. Whereas to calculate the value of 11x using the binomial
coefficient and 111x using the trinomial coefficients, where the coefficients of
the binomial and the trinomial are digits of 11x and 111x on successive. If
the combined result of the binomial and trinomial coefficients is worth more
than the unit, then the non-unit value is summed to the left number. For the
equation 111x ≡ r (mod 1000), value of r also be calculated by observing the
pattern of numbers in the value of r, there are hundreds, tens and units and
can be specially formulated.
Keywords: Modulo, characteristic of reminder in the division, application of
binomial and trinomial coefficient, number pattern

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

10 15.217 (0003)

Penerbit

Pekanbaru : Universitas Riau- PASCASARJANA- Matematika., 2017

Deskripsi Fisik

xii, 58 hlm.;ill.;29 cm

Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

10 15.217 (0003)

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

PASCASARJANA (MAGISTER) MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

Hanum

Versi lain/terkait

Lampiran Berkas

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