Aya = a1 + (n - 1)d Find the 26th term of an arithmetic sequence with ai = -33 and d= 4.
O 67
O-130
O 71
O-129

The 26th term of an arithmetic sequence is:

Hence, option A is true.

Step-by-step explanation:

Given

An arithmetic sequence has a constant difference 'd' and is defined by

substituting a₁ = -33 and d = 4 in the nth term of the sequence

Thus, the nth term of the sequence is:

now substituting n = 26 in the nth term to determine the 26th term of the sequence

Therefore, the 26th term of an arithmetic sequence is:

Hence, option A is true.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.