(1)

Find the term

HELP

  (a) If T_n = 7n - 3 find (T₅₃)

  (b) If T_n = 5 x 3^{n - 2} + 4 find (T₄)

  (c) If T_n = find (T₄₈)

(2)

Find the term of the A.P.

HELP

A.P. = Arithmetic Progression

(a)  a = 7, d = 11....................(T₃₉)

(b)  7, 14, 21,........................(T₅₂)

(c)  3, -8, -19,.......................(T₁₇₂)

(3)

Find the sum of the number of terms in each problem

Formula:

S_n = where l = a + (n - 1)d

(a)  The sum of the first 98 positive multiples of 4.

(b)  The sum of the first 50 positive multiples of 7.

(4)

Solve

A well with a diametre 2.2 metres has to be excavated to a depth of 5 metres. Find the volume of earth to be removed. Use π = 3.14 and round to nearest hundredth

(5)

Solve: Round to a whole number

(a)  

(b)  

(c)  

(6)

Solve:  Round to the nearest hundredth

A wooden gate 1½ metres high and 3 metres wide needs a diagonal brace fitted . Find the length of the diagonal brace needed.