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In a geometric series, the first and fourth terms are 2048 and 256 respectively. Calculate r, the common ratio of the terms. The sum of the first n terms is 4092. Calculate the value of n.

A geometric series S always follows the same pattern: S = a + ar + ar^2 + ar^3 ... Here i've labelled the first term a, and the common ratio r. The next term in a geometric series is always the preceding ...

SW
Answered by Sam W. Maths tutor
6100 Views

The quadratic equation (k+1)x^2+12x+(k-4)=0 has real roots. (a) Show that k^2-3k-40<=0. (b) Hence find the possible values of k.

(a) There is a quadratic equation which should e solved using the delta andthe roots formulas.

delta=a2-4ab

delta=144-4(k+1)(k-4)

delta=-4k2+12k+160

Becau...

AB
13650 Views

Háblame de las lenguas de España y cómo contribuyen a la identidad española

En España existen algunas lenguas diferentes, no solo el castellano. El catalán, de Cataluña y las islas baleares, es bien conocido por la gente fuera de España, también el euskera, idioma de los vascos.<...

CM
Answered by Charlie M. Spanish tutor
3175 Views

¿Que vas a hacer en las vacaciones de verano?

Voy a ir a España durante dos semanas con mi padre, mi madre y mi hermana. Mi padre se llama Chris, mi madre se llama Lucy, y mi hermana se llama Emily. Me gusta mucho ir a España en vacaciones porque hac...

CM
Answered by Charlie M. Spanish tutor
8187 Views

How is an Ox-Bow Lake formed?

In the lower course of the river, meanders (bends in the river) form when water is moving faster on one side of the channel than the other. Erosion takes place on the outsides of the bends, as the greater...

RC
Answered by Rachel C. Geography tutor
18433 Views

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