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the first four terms in a sequence are 2, 6, 10, 14. what is the nth term? and what is the sum to n terms of the sequence?

the nth term formula is the sum of the first term (a) and the second to last term (n-1) * the common difference (d). so a + (n-1)d where a = 2 and d = 4 in this case is 2 + (n-1) 4 = 4n - 2. the sum to n ter...
JL
Answered by Jake L. • Maths tutor
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Explain the function of the human heart

Describe where the human heart is located - i.e. thoracic cavityDefine the function of the heart - to supply the body with blood, act as a pumpStructure of the heart - 4 chambers (2 ventricles, 2 atria), SAN...
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Describe how phagocytosis of a virus leads to presentation of its antigens

Firstly, specialised white blood cells, known as macrophages, detect the virus in the blood stream. This is due to the virus releasing chemicals, and in the process of chemotaxis, the macrophage follows this...
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Answered by Jennifer L. • Biology tutor
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To what extent were the failures of the League of Nations the main cause for the outbreak of the Second World War?

Failures of the L.o.N: Poor conduct in dealing with the Manchurian Crisis and the Abyssinian Crisis - exposed weaknesses in the power of the League and demonstrated the biased power structure, with Britain a...
EH
Answered by Ethan H. • History tutor
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How do I integrate (sin x)^6?

Letting z be the complex number cos x + i sin x, we will use the identities (z n + 1/z n ) = 2 cos nx and (z n - 1/z n ) = 2i sin nx. Both of these follow from De Moivre’s theorem and the odd and even proper...
KD
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