James Chen TMUA Paper 2 · Question 6

Community mocks

James Chen TMUA Paper 2 · Q6

Paper 2TrigonometrySequences & seriesFunctions & graphs

Let the sequence $u_n$ be defined such that $u_{n+1}=u_n\sin^{67}(x)\cos^{69}(x)$ and $u_1=67$ . For what range of values of $x$ , in degrees, does $u_n$ have a convergent sum to infinity?

ANo real values of

x

0\leq x\leq45

0\leq x\leq67

45\leq x\leq67

0\leq x\leq136

45\leq x\leq136

67\leq x\leq136

HAll real values of

x

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.