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A sequence is defined by the term-to-term rule

Un+1 = U²₁ + 5
Given that u, = 1,
a) find u₁
b) find u₂
c) find u

User Owenwater
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1 Answer

4 votes

Answer:

Explanation:

a) To find u1, we can use the term-to-term rule given in the problem:

Un+1 = U²₁ + 5

We know that u1 = 1, so we can substitute that into the equation:

u2 = 1² + 5 = 1 + 5 = 6

b) To find u2, we can use the same term-to-term rule and substitute the value of u1 (which is 6) into the equation:

u3 = 6² + 5 = 36 + 5 = 41

c) To find un, we can use the term-to-term rule and substitute the value of un-1 into the equation.

un = un-1² + 5

It's important to note that the value of n is not given so we can't calculate the value of un.

Therefore, u1 = 6, u2 = 41, and we can't calculate un without knowing the value of n.

User INulty
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