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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 ter...
SW
Answered by Sam W. Maths tutor
6504 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=a 2 -4ab delta=144-4(k+1)(k-4) delta=-4k 2 +12k+160 Because the problem tells us that the roots are real, ...
AB
14325 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. Ade...
CM
Answered by Charlie M. Spanish tutor
3602 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 hace m...
CM
Answered by Charlie M. Spanish tutor
8741 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 en...
RC
Answered by Rachel C. Geography tutor
19421 Views