What you’ll learn9 learning objectivesChoose one objective for a focused lesson, or study the complete topic.—SL 1.1—Scientific notation• Use numbers in the form a x 10^k where 1 <= a < 10 and k is an integer.• Calculator/computer notation such as 5.2E30 is not acceptable.Syllabus objective—SL 1.2—Arithmetic sequences and series• Use nth-term, finite-sum and sigma notation for arithmetic sequences.• Identify first term and common difference; apply to contexts such as simple interest.Syllabus objective—SL 1.3—Geometric sequences and series• Use nth-term, finite-sum and sigma notation for geometric sequences.• Identify first term and common ratio; apply to growth/decay contexts.Syllabus objective—SL 1.4—Financial applications• Apply geometric sequences to compound interest and annual depreciation.• Use technology/financial packages; consider inflation and compounding frequency.Syllabus objective—SL 1.5—Integer exponents and logarithms• Use laws of exponents with integer exponents.• Understand base-10 and natural logarithms; ax=b is equivalent to log_a(b)=x.Syllabus objective—SL 1.6—Deductive proof• Write simple numerical and algebraic deductive proofs.• Use equality/identity notation and LHS-to-RHS proof layout; check results.Syllabus objective—SL 1.7—Rational exponents and logarithm laws• Use rational exponent laws and logarithm laws.• Use change of base and logarithms to solve exponential equations.Syllabus objective—SL 1.8—Infinite geometric series• Find sums of infinite convergent geometric sequences.• Use |r| < 1 and modulus notation for convergence.Syllabus objective—SL 1.9—Binomial theorem• Expand (a+b)^n for n in N using the binomial theorem.• Use Pascal's triangle and nCr, with formula and technology.Syllabus objective